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Finding the Third Proportional to 47,117 and 66,034

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Solution

The third proportional to 47,117 and 66,034 is: 92,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,117 : 66,034 = 66,034 : x
  2. Step 2: Convert to fraction form
    47,117/66,034 = 66,034/x
  3. Step 3: Cross multiply
    47,117x = 66,034 × 66,034
  4. Step 4: Simplify right side
    47,117x = 4,360,489,156
  5. Step 5: Solve for x
    x = 4,360,489,156/47,117
  6. Step 6: Final answer
    x = 92,545.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.