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Finding the Third Proportional to 47,954.13 and 72,597.44

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Solution

The third proportional to 47,954.13 and 72,597.44 is: 109,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.13 : 72,597.44 = 72,597.44 : x
  2. Step 2: Convert to fraction form
    47,954.13/72,597.44 = 72,597.44/x
  3. Step 3: Cross multiply
    47,954.13x = 72,597.44 × 72,597.44
  4. Step 4: Simplify right side
    47,954.13x = 5,270,387,931.57
  5. Step 5: Solve for x
    x = 5,270,387,931.57/47,954.13
  6. Step 6: Final answer
    x = 109,904.79

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Why These Related Problems?

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