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Finding the Third Proportional to 3,565.50 and 7,059.75

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Solution

The third proportional to 3,565.50 and 7,059.75 is: 13,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.50 : 7,059.75 = 7,059.75 : x
  2. Step 2: Convert to fraction form
    3,565.50/7,059.75 = 7,059.75/x
  3. Step 3: Cross multiply
    3,565.50x = 7,059.75 × 7,059.75
  4. Step 4: Simplify right side
    3,565.50x = 49,840,070.06
  5. Step 5: Solve for x
    x = 49,840,070.06/3,565.50
  6. Step 6: Final answer
    x = 13,978.42

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.