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Finding the Third Proportional to 31,473 and 68,277.75

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Solution

The third proportional to 31,473 and 68,277.75 is: 148,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473 : 68,277.75 = 68,277.75 : x
  2. Step 2: Convert to fraction form
    31,473/68,277.75 = 68,277.75/x
  3. Step 3: Cross multiply
    31,473x = 68,277.75 × 68,277.75
  4. Step 4: Simplify right side
    31,473x = 4,661,851,145.06
  5. Step 5: Solve for x
    x = 4,661,851,145.06/31,473
  6. Step 6: Final answer
    x = 148,122.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.