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Finding the Third Proportional to 47,016 and 64,470

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Solution

The third proportional to 47,016 and 64,470 is: 88,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,016 : 64,470 = 64,470 : x
  2. Step 2: Convert to fraction form
    47,016/64,470 = 64,470/x
  3. Step 3: Cross multiply
    47,016x = 64,470 × 64,470
  4. Step 4: Simplify right side
    47,016x = 4,156,380,900
  5. Step 5: Solve for x
    x = 4,156,380,900/47,016
  6. Step 6: Final answer
    x = 88,403.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.