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Finding the Third Proportional to 15,414 and 23,913

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Solution

The third proportional to 15,414 and 23,913 is: 37,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414 : 23,913 = 23,913 : x
  2. Step 2: Convert to fraction form
    15,414/23,913 = 23,913/x
  3. Step 3: Cross multiply
    15,414x = 23,913 × 23,913
  4. Step 4: Simplify right side
    15,414x = 571,831,569
  5. Step 5: Solve for x
    x = 571,831,569/15,414
  6. Step 6: Final answer
    x = 37,098.19

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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.