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Finding the Third Proportional to 9,616 and 15,392

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Solution

The third proportional to 9,616 and 15,392 is: 24,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616 : 15,392 = 15,392 : x
  2. Step 2: Convert to fraction form
    9,616/15,392 = 15,392/x
  3. Step 3: Cross multiply
    9,616x = 15,392 × 15,392
  4. Step 4: Simplify right side
    9,616x = 236,913,664
  5. Step 5: Solve for x
    x = 236,913,664/9,616
  6. Step 6: Final answer
    x = 24,637.44

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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.