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Finding the Third Proportional to 10,999.13 and 23,358.38

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Solution

The third proportional to 10,999.13 and 23,358.38 is: 49,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.13 : 23,358.38 = 23,358.38 : x
  2. Step 2: Convert to fraction form
    10,999.13/23,358.38 = 23,358.38/x
  3. Step 3: Cross multiply
    10,999.13x = 23,358.38 × 23,358.38
  4. Step 4: Simplify right side
    10,999.13x = 545,613,682.64
  5. Step 5: Solve for x
    x = 545,613,682.64/10,999.13
  6. Step 6: Final answer
    x = 49,605.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.