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Finding the Third Proportional to 47,468.25 and 72,842.63

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Solution

The third proportional to 47,468.25 and 72,842.63 is: 111,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,468.25 : 72,842.63 = 72,842.63 : x
  2. Step 2: Convert to fraction form
    47,468.25/72,842.63 = 72,842.63/x
  3. Step 3: Cross multiply
    47,468.25x = 72,842.63 × 72,842.63
  4. Step 4: Simplify right side
    47,468.25x = 5,306,048,016.89
  5. Step 5: Solve for x
    x = 5,306,048,016.89/47,468.25
  6. Step 6: Final answer
    x = 111,780.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.