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Finding the Third Proportional to 4,117.24 and 9,155.64

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Solution

The third proportional to 4,117.24 and 9,155.64 is: 20,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.24 : 9,155.64 = 9,155.64 : x
  2. Step 2: Convert to fraction form
    4,117.24/9,155.64 = 9,155.64/x
  3. Step 3: Cross multiply
    4,117.24x = 9,155.64 × 9,155.64
  4. Step 4: Simplify right side
    4,117.24x = 83,825,683.73
  5. Step 5: Solve for x
    x = 83,825,683.73/4,117.24
  6. Step 6: Final answer
    x = 20,359.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.