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Finding the Third Proportional to 9,295.59 and 18,124.17

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Solution

The third proportional to 9,295.59 and 18,124.17 is: 35,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.59 : 18,124.17 = 18,124.17 : x
  2. Step 2: Convert to fraction form
    9,295.59/18,124.17 = 18,124.17/x
  3. Step 3: Cross multiply
    9,295.59x = 18,124.17 × 18,124.17
  4. Step 4: Simplify right side
    9,295.59x = 328,485,606.15
  5. Step 5: Solve for x
    x = 328,485,606.15/9,295.59
  6. Step 6: Final answer
    x = 35,337.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.