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Finding the Third Proportional to 10,118 and 15,607

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Solution

The third proportional to 10,118 and 15,607 is: 24,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118 : 15,607 = 15,607 : x
  2. Step 2: Convert to fraction form
    10,118/15,607 = 15,607/x
  3. Step 3: Cross multiply
    10,118x = 15,607 × 15,607
  4. Step 4: Simplify right side
    10,118x = 243,578,449
  5. Step 5: Solve for x
    x = 243,578,449/10,118
  6. Step 6: Final answer
    x = 24,073.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.