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Finding the Third Proportional to 4,834.13 and 9,138.38

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Solution

The third proportional to 4,834.13 and 9,138.38 is: 17,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.13 : 9,138.38 = 9,138.38 : x
  2. Step 2: Convert to fraction form
    4,834.13/9,138.38 = 9,138.38/x
  3. Step 3: Cross multiply
    4,834.13x = 9,138.38 × 9,138.38
  4. Step 4: Simplify right side
    4,834.13x = 83,509,897.64
  5. Step 5: Solve for x
    x = 83,509,897.64/4,834.13
  6. Step 6: Final answer
    x = 17,275.08

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.