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Finding the Third Proportional to 12,663 and 29,316

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Solution

The third proportional to 12,663 and 29,316 is: 67,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663 : 29,316 = 29,316 : x
  2. Step 2: Convert to fraction form
    12,663/29,316 = 29,316/x
  3. Step 3: Cross multiply
    12,663x = 29,316 × 29,316
  4. Step 4: Simplify right side
    12,663x = 859,427,856
  5. Step 5: Solve for x
    x = 859,427,856/12,663
  6. Step 6: Final answer
    x = 67,869.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.