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Finding the Third Proportional to 10,691.37 and 22,766.06

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Solution

The third proportional to 10,691.37 and 22,766.06 is: 48,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.37 : 22,766.06 = 22,766.06 : x
  2. Step 2: Convert to fraction form
    10,691.37/22,766.06 = 22,766.06/x
  3. Step 3: Cross multiply
    10,691.37x = 22,766.06 × 22,766.06
  4. Step 4: Simplify right side
    10,691.37x = 518,293,601.75
  5. Step 5: Solve for x
    x = 518,293,601.75/10,691.37
  6. Step 6: Final answer
    x = 48,477.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.