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Finding the Third Proportional to 47,882.81 and 72,489.94

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Solution

The third proportional to 47,882.81 and 72,489.94 is: 109,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.81 : 72,489.94 = 72,489.94 : x
  2. Step 2: Convert to fraction form
    47,882.81/72,489.94 = 72,489.94/x
  3. Step 3: Cross multiply
    47,882.81x = 72,489.94 × 72,489.94
  4. Step 4: Simplify right side
    47,882.81x = 5,254,791,038.75
  5. Step 5: Solve for x
    x = 5,254,791,038.75/47,882.81
  6. Step 6: Final answer
    x = 109,742.74

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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.