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Finding the Third Proportional to 47,115 and 66,031

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Solution

The third proportional to 47,115 and 66,031 is: 92,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115 : 66,031 = 66,031 : x
  2. Step 2: Convert to fraction form
    47,115/66,031 = 66,031/x
  3. Step 3: Cross multiply
    47,115x = 66,031 × 66,031
  4. Step 4: Simplify right side
    47,115x = 4,360,092,961
  5. Step 5: Solve for x
    x = 4,360,092,961/47,115
  6. Step 6: Final answer
    x = 92,541.50

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