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Finding the Third Proportional to 5,733.81 and 9,122.38

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Solution

The third proportional to 5,733.81 and 9,122.38 is: 14,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.81 : 9,122.38 = 9,122.38 : x
  2. Step 2: Convert to fraction form
    5,733.81/9,122.38 = 9,122.38/x
  3. Step 3: Cross multiply
    5,733.81x = 9,122.38 × 9,122.38
  4. Step 4: Simplify right side
    5,733.81x = 83,217,725.64
  5. Step 5: Solve for x
    x = 83,217,725.64/5,733.81
  6. Step 6: Final answer
    x = 14,513.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.