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Finding the Third Proportional to 10,103.06 and 22,134.94

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Solution

The third proportional to 10,103.06 and 22,134.94 is: 48,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.06 : 22,134.94 = 22,134.94 : x
  2. Step 2: Convert to fraction form
    10,103.06/22,134.94 = 22,134.94/x
  3. Step 3: Cross multiply
    10,103.06x = 22,134.94 × 22,134.94
  4. Step 4: Simplify right side
    10,103.06x = 489,955,458.13
  5. Step 5: Solve for x
    x = 489,955,458.13/10,103.06
  6. Step 6: Final answer
    x = 48,495.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.