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Finding the Third Proportional to 9,616 and 15,386

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Solution

The third proportional to 9,616 and 15,386 is: 24,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616 : 15,386 = 15,386 : x
  2. Step 2: Convert to fraction form
    9,616/15,386 = 15,386/x
  3. Step 3: Cross multiply
    9,616x = 15,386 × 15,386
  4. Step 4: Simplify right side
    9,616x = 236,728,996
  5. Step 5: Solve for x
    x = 236,728,996/9,616
  6. Step 6: Final answer
    x = 24,618.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.