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Finding the Third Proportional to 32,715 and 49,113

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Solution

The third proportional to 32,715 and 49,113 is: 73,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715 : 49,113 = 49,113 : x
  2. Step 2: Convert to fraction form
    32,715/49,113 = 49,113/x
  3. Step 3: Cross multiply
    32,715x = 49,113 × 49,113
  4. Step 4: Simplify right side
    32,715x = 2,412,086,769
  5. Step 5: Solve for x
    x = 2,412,086,769/32,715
  6. Step 6: Final answer
    x = 73,730.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.