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Finding the Third Proportional to 1,687.08 and 3,565.27

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Solution

The third proportional to 1,687.08 and 3,565.27 is: 7,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.08 : 3,565.27 = 3,565.27 : x
  2. Step 2: Convert to fraction form
    1,687.08/3,565.27 = 3,565.27/x
  3. Step 3: Cross multiply
    1,687.08x = 3,565.27 × 3,565.27
  4. Step 4: Simplify right side
    1,687.08x = 12,711,118.98
  5. Step 5: Solve for x
    x = 12,711,118.98/1,687.08
  6. Step 6: Final answer
    x = 7,534.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.