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Finding the Third Proportional to 54,708.75 and 72,711

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Solution

The third proportional to 54,708.75 and 72,711 is: 96,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,708.75 : 72,711 = 72,711 : x
  2. Step 2: Convert to fraction form
    54,708.75/72,711 = 72,711/x
  3. Step 3: Cross multiply
    54,708.75x = 72,711 × 72,711
  4. Step 4: Simplify right side
    54,708.75x = 5,286,889,521
  5. Step 5: Solve for x
    x = 5,286,889,521/54,708.75
  6. Step 6: Final answer
    x = 96,637.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.