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Finding the Third Proportional to 10,263.66 and 22,129.59

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Solution

The third proportional to 10,263.66 and 22,129.59 is: 47,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.66 : 22,129.59 = 22,129.59 : x
  2. Step 2: Convert to fraction form
    10,263.66/22,129.59 = 22,129.59/x
  3. Step 3: Cross multiply
    10,263.66x = 22,129.59 × 22,129.59
  4. Step 4: Simplify right side
    10,263.66x = 489,718,919.54
  5. Step 5: Solve for x
    x = 489,718,919.54/10,263.66
  6. Step 6: Final answer
    x = 47,713.89

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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.