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Finding the Third Proportional to 13,658 and 29,715

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Solution

The third proportional to 13,658 and 29,715 is: 64,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658 : 29,715 = 29,715 : x
  2. Step 2: Convert to fraction form
    13,658/29,715 = 29,715/x
  3. Step 3: Cross multiply
    13,658x = 29,715 × 29,715
  4. Step 4: Simplify right side
    13,658x = 882,981,225
  5. Step 5: Solve for x
    x = 882,981,225/13,658
  6. Step 6: Final answer
    x = 64,649.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.