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Finding the Third Proportional to 10,271.06 and 22,098.56

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Solution

The third proportional to 10,271.06 and 22,098.56 is: 47,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.06 : 22,098.56 = 22,098.56 : x
  2. Step 2: Convert to fraction form
    10,271.06/22,098.56 = 22,098.56/x
  3. Step 3: Cross multiply
    10,271.06x = 22,098.56 × 22,098.56
  4. Step 4: Simplify right side
    10,271.06x = 488,346,464.57
  5. Step 5: Solve for x
    x = 488,346,464.57/10,271.06
  6. Step 6: Final answer
    x = 47,545.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.