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Finding the Third Proportional to 23,233.13 and 49,463.25

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Solution

The third proportional to 23,233.13 and 49,463.25 is: 105,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.13 : 49,463.25 = 49,463.25 : x
  2. Step 2: Convert to fraction form
    23,233.13/49,463.25 = 49,463.25/x
  3. Step 3: Cross multiply
    23,233.13x = 49,463.25 × 49,463.25
  4. Step 4: Simplify right side
    23,233.13x = 2,446,613,100.56
  5. Step 5: Solve for x
    x = 2,446,613,100.56/23,233.13
  6. Step 6: Final answer
    x = 105,307.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.