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Finding the Third Proportional to 25,044 and 38,508

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Solution

The third proportional to 25,044 and 38,508 is: 59,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,044 : 38,508 = 38,508 : x
  2. Step 2: Convert to fraction form
    25,044/38,508 = 38,508/x
  3. Step 3: Cross multiply
    25,044x = 38,508 × 38,508
  4. Step 4: Simplify right side
    25,044x = 1,482,866,064
  5. Step 5: Solve for x
    x = 1,482,866,064/25,044
  6. Step 6: Final answer
    x = 59,210.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.