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Finding the Third Proportional to 782.50 and 1,686.13

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Solution

The third proportional to 782.50 and 1,686.13 is: 3,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.50 : 1,686.13 = 1,686.13 : x
  2. Step 2: Convert to fraction form
    782.50/1,686.13 = 1,686.13/x
  3. Step 3: Cross multiply
    782.50x = 1,686.13 × 1,686.13
  4. Step 4: Simplify right side
    782.50x = 2,843,017.52
  5. Step 5: Solve for x
    x = 2,843,017.52/782.50
  6. Step 6: Final answer
    x = 3,633.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.