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Finding the Third Proportional to 37,237.50 and 52,089.19

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Solution

The third proportional to 37,237.50 and 52,089.19 is: 72,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,237.50 : 52,089.19 = 52,089.19 : x
  2. Step 2: Convert to fraction form
    37,237.50/52,089.19 = 52,089.19/x
  3. Step 3: Cross multiply
    37,237.50x = 52,089.19 × 52,089.19
  4. Step 4: Simplify right side
    37,237.50x = 2,713,283,454.41
  5. Step 5: Solve for x
    x = 2,713,283,454.41/37,237.50
  6. Step 6: Final answer
    x = 72,864.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.