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Finding the Third Proportional to 9,616 and 14,552

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Solution

The third proportional to 9,616 and 14,552 is: 22,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616 : 14,552 = 14,552 : x
  2. Step 2: Convert to fraction form
    9,616/14,552 = 14,552/x
  3. Step 3: Cross multiply
    9,616x = 14,552 × 14,552
  4. Step 4: Simplify right side
    9,616x = 211,760,704
  5. Step 5: Solve for x
    x = 211,760,704/9,616
  6. Step 6: Final answer
    x = 22,021.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.