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Finding the Third Proportional to 7,707.38 and 16,565.63

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Solution

The third proportional to 7,707.38 and 16,565.63 is: 35,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.38 : 16,565.63 = 16,565.63 : x
  2. Step 2: Convert to fraction form
    7,707.38/16,565.63 = 16,565.63/x
  3. Step 3: Cross multiply
    7,707.38x = 16,565.63 × 16,565.63
  4. Step 4: Simplify right side
    7,707.38x = 274,419,931.64
  5. Step 5: Solve for x
    x = 274,419,931.64/7,707.38
  6. Step 6: Final answer
    x = 35,604.85

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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.