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Finding the Third Proportional to 10,778.06 and 22,869.84

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Solution

The third proportional to 10,778.06 and 22,869.84 is: 48,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.06 : 22,869.84 = 22,869.84 : x
  2. Step 2: Convert to fraction form
    10,778.06/22,869.84 = 22,869.84/x
  3. Step 3: Cross multiply
    10,778.06x = 22,869.84 × 22,869.84
  4. Step 4: Simplify right side
    10,778.06x = 523,029,753.15
  5. Step 5: Solve for x
    x = 523,029,753.15/10,778.06
  6. Step 6: Final answer
    x = 48,527.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.