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Finding the Third Proportional to 15,410 and 24,497

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Solution

The third proportional to 15,410 and 24,497 is: 38,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410 : 24,497 = 24,497 : x
  2. Step 2: Convert to fraction form
    15,410/24,497 = 24,497/x
  3. Step 3: Cross multiply
    15,410x = 24,497 × 24,497
  4. Step 4: Simplify right side
    15,410x = 600,103,009
  5. Step 5: Solve for x
    x = 600,103,009/15,410
  6. Step 6: Final answer
    x = 38,942.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.