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Finding the Third Proportional to 47,092.31 and 70,638.56

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Solution

The third proportional to 47,092.31 and 70,638.56 is: 105,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,092.31 : 70,638.56 = 70,638.56 : x
  2. Step 2: Convert to fraction form
    47,092.31/70,638.56 = 70,638.56/x
  3. Step 3: Cross multiply
    47,092.31x = 70,638.56 × 70,638.56
  4. Step 4: Simplify right side
    47,092.31x = 4,989,806,512.07
  5. Step 5: Solve for x
    x = 4,989,806,512.07/47,092.31
  6. Step 6: Final answer
    x = 105,957.98

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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.