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Finding the Third Proportional to 15,024 and 23,913

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Solution

The third proportional to 15,024 and 23,913 is: 38,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024 : 23,913 = 23,913 : x
  2. Step 2: Convert to fraction form
    15,024/23,913 = 23,913/x
  3. Step 3: Cross multiply
    15,024x = 23,913 × 23,913
  4. Step 4: Simplify right side
    15,024x = 571,831,569
  5. Step 5: Solve for x
    x = 571,831,569/15,024
  6. Step 6: Final answer
    x = 38,061.21

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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.