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Finding the Third Proportional to 25,402 and 39,511

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Solution

The third proportional to 25,402 and 39,511 is: 61,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402 : 39,511 = 39,511 : x
  2. Step 2: Convert to fraction form
    25,402/39,511 = 39,511/x
  3. Step 3: Cross multiply
    25,402x = 39,511 × 39,511
  4. Step 4: Simplify right side
    25,402x = 1,561,119,121
  5. Step 5: Solve for x
    x = 1,561,119,121/25,402
  6. Step 6: Final answer
    x = 61,456.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.