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Finding the Third Proportional to 10,663 and 16,139

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Solution

The third proportional to 10,663 and 16,139 is: 24,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663 : 16,139 = 16,139 : x
  2. Step 2: Convert to fraction form
    10,663/16,139 = 16,139/x
  3. Step 3: Cross multiply
    10,663x = 16,139 × 16,139
  4. Step 4: Simplify right side
    10,663x = 260,467,321
  5. Step 5: Solve for x
    x = 260,467,321/10,663
  6. Step 6: Final answer
    x = 24,427.21

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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.