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Finding the Third Proportional to 47,764.69 and 72,254.53

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Solution

The third proportional to 47,764.69 and 72,254.53 is: 109,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.69 : 72,254.53 = 72,254.53 : x
  2. Step 2: Convert to fraction form
    47,764.69/72,254.53 = 72,254.53/x
  3. Step 3: Cross multiply
    47,764.69x = 72,254.53 × 72,254.53
  4. Step 4: Simplify right side
    47,764.69x = 5,220,717,286.16
  5. Step 5: Solve for x
    x = 5,220,717,286.16/47,764.69
  6. Step 6: Final answer
    x = 109,300.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.