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Finding the Third Proportional to 27,151 and 47,862.50

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Solution

The third proportional to 27,151 and 47,862.50 is: 84,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151 : 47,862.50 = 47,862.50 : x
  2. Step 2: Convert to fraction form
    27,151/47,862.50 = 47,862.50/x
  3. Step 3: Cross multiply
    27,151x = 47,862.50 × 47,862.50
  4. Step 4: Simplify right side
    27,151x = 2,290,818,906.25
  5. Step 5: Solve for x
    x = 2,290,818,906.25/27,151
  6. Step 6: Final answer
    x = 84,373.28

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.