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Finding the Third Proportional to 25,502.50 and 36,737

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Solution

The third proportional to 25,502.50 and 36,737 is: 52,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502.50 : 36,737 = 36,737 : x
  2. Step 2: Convert to fraction form
    25,502.50/36,737 = 36,737/x
  3. Step 3: Cross multiply
    25,502.50x = 36,737 × 36,737
  4. Step 4: Simplify right side
    25,502.50x = 1,349,607,169
  5. Step 5: Solve for x
    x = 1,349,607,169/25,502.50
  6. Step 6: Final answer
    x = 52,920.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.