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Finding the Third Proportional to 47,412 and 56,079

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Solution

The third proportional to 47,412 and 56,079 is: 66,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412 : 56,079 = 56,079 : x
  2. Step 2: Convert to fraction form
    47,412/56,079 = 56,079/x
  3. Step 3: Cross multiply
    47,412x = 56,079 × 56,079
  4. Step 4: Simplify right side
    47,412x = 3,144,854,241
  5. Step 5: Solve for x
    x = 3,144,854,241/47,412
  6. Step 6: Final answer
    x = 66,330.34

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.