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Finding the Third Proportional to 47,098 and 66,008

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Solution

The third proportional to 47,098 and 66,008 is: 92,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098 : 66,008 = 66,008 : x
  2. Step 2: Convert to fraction form
    47,098/66,008 = 66,008/x
  3. Step 3: Cross multiply
    47,098x = 66,008 × 66,008
  4. Step 4: Simplify right side
    47,098x = 4,357,056,064
  5. Step 5: Solve for x
    x = 4,357,056,064/47,098
  6. Step 6: Final answer
    x = 92,510.43

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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.