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Finding the Third Proportional to 47,000.25 and 72,811.13

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Solution

The third proportional to 47,000.25 and 72,811.13 is: 112,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.25 : 72,811.13 = 72,811.13 : x
  2. Step 2: Convert to fraction form
    47,000.25/72,811.13 = 72,811.13/x
  3. Step 3: Cross multiply
    47,000.25x = 72,811.13 × 72,811.13
  4. Step 4: Simplify right side
    47,000.25x = 5,301,459,923.77
  5. Step 5: Solve for x
    x = 5,301,459,923.77/47,000.25
  6. Step 6: Final answer
    x = 112,796.42

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Why These Related Problems?

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