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Finding the Third Proportional to 10,534 and 15,704

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Solution

The third proportional to 10,534 and 15,704 is: 23,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 15,704 = 15,704 : x
  2. Step 2: Convert to fraction form
    10,534/15,704 = 15,704/x
  3. Step 3: Cross multiply
    10,534x = 15,704 × 15,704
  4. Step 4: Simplify right side
    10,534x = 246,615,616
  5. Step 5: Solve for x
    x = 246,615,616/10,534
  6. Step 6: Final answer
    x = 23,411.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.