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Finding the Third Proportional to 29,715 and 63,246

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Solution

The third proportional to 29,715 and 63,246 is: 134,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715 : 63,246 = 63,246 : x
  2. Step 2: Convert to fraction form
    29,715/63,246 = 63,246/x
  3. Step 3: Cross multiply
    29,715x = 63,246 × 63,246
  4. Step 4: Simplify right side
    29,715x = 4,000,056,516
  5. Step 5: Solve for x
    x = 4,000,056,516/29,715
  6. Step 6: Final answer
    x = 134,614.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.