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Finding the Third Proportional to 25,410 and 39,499

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Solution

The third proportional to 25,410 and 39,499 is: 61,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,410 : 39,499 = 39,499 : x
  2. Step 2: Convert to fraction form
    25,410/39,499 = 39,499/x
  3. Step 3: Cross multiply
    25,410x = 39,499 × 39,499
  4. Step 4: Simplify right side
    25,410x = 1,560,171,001
  5. Step 5: Solve for x
    x = 1,560,171,001/25,410
  6. Step 6: Final answer
    x = 61,399.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.