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Finding the Third Proportional to 37,263.50 and 55,389

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Solution

The third proportional to 37,263.50 and 55,389 is: 82,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,263.50 : 55,389 = 55,389 : x
  2. Step 2: Convert to fraction form
    37,263.50/55,389 = 55,389/x
  3. Step 3: Cross multiply
    37,263.50x = 55,389 × 55,389
  4. Step 4: Simplify right side
    37,263.50x = 3,067,941,321
  5. Step 5: Solve for x
    x = 3,067,941,321/37,263.50
  6. Step 6: Final answer
    x = 82,331.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.