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Finding the Third Proportional to 5,254.31 and 8,701.88

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Solution

The third proportional to 5,254.31 and 8,701.88 is: 14,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.31 : 8,701.88 = 8,701.88 : x
  2. Step 2: Convert to fraction form
    5,254.31/8,701.88 = 8,701.88/x
  3. Step 3: Cross multiply
    5,254.31x = 8,701.88 × 8,701.88
  4. Step 4: Simplify right side
    5,254.31x = 75,722,628.52
  5. Step 5: Solve for x
    x = 75,722,628.52/5,254.31
  6. Step 6: Final answer
    x = 14,411.52

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.