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Finding the Third Proportional to 23,110.13 and 49,909.13

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Solution

The third proportional to 23,110.13 and 49,909.13 is: 107,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110.13 : 49,909.13 = 49,909.13 : x
  2. Step 2: Convert to fraction form
    23,110.13/49,909.13 = 49,909.13/x
  3. Step 3: Cross multiply
    23,110.13x = 49,909.13 × 49,909.13
  4. Step 4: Simplify right side
    23,110.13x = 2,490,920,758.27
  5. Step 5: Solve for x
    x = 2,490,920,758.27/23,110.13
  6. Step 6: Final answer
    x = 107,784.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.