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Finding the Third Proportional to 47,302.31 and 71,152.88

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Solution

The third proportional to 47,302.31 and 71,152.88 is: 107,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,302.31 : 71,152.88 = 71,152.88 : x
  2. Step 2: Convert to fraction form
    47,302.31/71,152.88 = 71,152.88/x
  3. Step 3: Cross multiply
    47,302.31x = 71,152.88 × 71,152.88
  4. Step 4: Simplify right side
    47,302.31x = 5,062,731,620.77
  5. Step 5: Solve for x
    x = 5,062,731,620.77/47,302.31
  6. Step 6: Final answer
    x = 107,029.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.