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Finding the Third Proportional to 25,504 and 36,730

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Solution

The third proportional to 25,504 and 36,730 is: 52,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504 : 36,730 = 36,730 : x
  2. Step 2: Convert to fraction form
    25,504/36,730 = 36,730/x
  3. Step 3: Cross multiply
    25,504x = 36,730 × 36,730
  4. Step 4: Simplify right side
    25,504x = 1,349,092,900
  5. Step 5: Solve for x
    x = 1,349,092,900/25,504
  6. Step 6: Final answer
    x = 52,897.31

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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.