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Finding the Third Proportional to 13,706 and 29,358

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Solution

The third proportional to 13,706 and 29,358 is: 62,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706 : 29,358 = 29,358 : x
  2. Step 2: Convert to fraction form
    13,706/29,358 = 29,358/x
  3. Step 3: Cross multiply
    13,706x = 29,358 × 29,358
  4. Step 4: Simplify right side
    13,706x = 861,892,164
  5. Step 5: Solve for x
    x = 861,892,164/13,706
  6. Step 6: Final answer
    x = 62,884.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.