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Finding the Third Proportional to 37,737 and 56,614.50

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Solution

The third proportional to 37,737 and 56,614.50 is: 84,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,737 : 56,614.50 = 56,614.50 : x
  2. Step 2: Convert to fraction form
    37,737/56,614.50 = 56,614.50/x
  3. Step 3: Cross multiply
    37,737x = 56,614.50 × 56,614.50
  4. Step 4: Simplify right side
    37,737x = 3,205,201,610.25
  5. Step 5: Solve for x
    x = 3,205,201,610.25/37,737
  6. Step 6: Final answer
    x = 84,935.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.