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Finding the Third Proportional to 47,002.88 and 72,815.25

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Solution

The third proportional to 47,002.88 and 72,815.25 is: 112,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,002.88 : 72,815.25 = 72,815.25 : x
  2. Step 2: Convert to fraction form
    47,002.88/72,815.25 = 72,815.25/x
  3. Step 3: Cross multiply
    47,002.88x = 72,815.25 × 72,815.25
  4. Step 4: Simplify right side
    47,002.88x = 5,302,060,632.56
  5. Step 5: Solve for x
    x = 5,302,060,632.56/47,002.88
  6. Step 6: Final answer
    x = 112,802.90

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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.