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Finding the Third Proportional to 1,680.12 and 2,565.42

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Solution

The third proportional to 1,680.12 and 2,565.42 is: 3,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.12 : 2,565.42 = 2,565.42 : x
  2. Step 2: Convert to fraction form
    1,680.12/2,565.42 = 2,565.42/x
  3. Step 3: Cross multiply
    1,680.12x = 2,565.42 × 2,565.42
  4. Step 4: Simplify right side
    1,680.12x = 6,581,389.40
  5. Step 5: Solve for x
    x = 6,581,389.40/1,680.12
  6. Step 6: Final answer
    x = 3,917.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.