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Finding the Third Proportional to 8,565.75 and 18,517.36

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Solution

The third proportional to 8,565.75 and 18,517.36 is: 40,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 18,517.36 = 18,517.36 : x
  2. Step 2: Convert to fraction form
    8,565.75/18,517.36 = 18,517.36/x
  3. Step 3: Cross multiply
    8,565.75x = 18,517.36 × 18,517.36
  4. Step 4: Simplify right side
    8,565.75x = 342,892,598.22
  5. Step 5: Solve for x
    x = 342,892,598.22/8,565.75
  6. Step 6: Final answer
    x = 40,030.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.