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Finding the Third Proportional to 37,045 and 53,551.50

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Solution

The third proportional to 37,045 and 53,551.50 is: 77,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045 : 53,551.50 = 53,551.50 : x
  2. Step 2: Convert to fraction form
    37,045/53,551.50 = 53,551.50/x
  3. Step 3: Cross multiply
    37,045x = 53,551.50 × 53,551.50
  4. Step 4: Simplify right side
    37,045x = 2,867,763,152.25
  5. Step 5: Solve for x
    x = 2,867,763,152.25/37,045
  6. Step 6: Final answer
    x = 77,412.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.