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Finding the Third Proportional to 4,429.13 and 10,036.13

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Solution

The third proportional to 4,429.13 and 10,036.13 is: 22,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.13 : 10,036.13 = 10,036.13 : x
  2. Step 2: Convert to fraction form
    4,429.13/10,036.13 = 10,036.13/x
  3. Step 3: Cross multiply
    4,429.13x = 10,036.13 × 10,036.13
  4. Step 4: Simplify right side
    4,429.13x = 100,723,805.02
  5. Step 5: Solve for x
    x = 100,723,805.02/4,429.13
  6. Step 6: Final answer
    x = 22,741.24

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.