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Finding the Third Proportional to 47,020.50 and 72,889.88

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Solution

The third proportional to 47,020.50 and 72,889.88 is: 112,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020.50 : 72,889.88 = 72,889.88 : x
  2. Step 2: Convert to fraction form
    47,020.50/72,889.88 = 72,889.88/x
  3. Step 3: Cross multiply
    47,020.50x = 72,889.88 × 72,889.88
  4. Step 4: Simplify right side
    47,020.50x = 5,312,933,877.52
  5. Step 5: Solve for x
    x = 5,312,933,877.52/47,020.50
  6. Step 6: Final answer
    x = 112,991.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.