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Finding the Third Proportional to 22,663.13 and 49,091.63

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Solution

The third proportional to 22,663.13 and 49,091.63 is: 106,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.13 : 49,091.63 = 49,091.63 : x
  2. Step 2: Convert to fraction form
    22,663.13/49,091.63 = 49,091.63/x
  3. Step 3: Cross multiply
    22,663.13x = 49,091.63 × 49,091.63
  4. Step 4: Simplify right side
    22,663.13x = 2,409,987,645.14
  5. Step 5: Solve for x
    x = 2,409,987,645.14/22,663.13
  6. Step 6: Final answer
    x = 106,339.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.