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Finding the Third Proportional to 10,357.88 and 22,466.11

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Solution

The third proportional to 10,357.88 and 22,466.11 is: 48,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.88 : 22,466.11 = 22,466.11 : x
  2. Step 2: Convert to fraction form
    10,357.88/22,466.11 = 22,466.11/x
  3. Step 3: Cross multiply
    10,357.88x = 22,466.11 × 22,466.11
  4. Step 4: Simplify right side
    10,357.88x = 504,726,070.45
  5. Step 5: Solve for x
    x = 504,726,070.45/10,357.88
  6. Step 6: Final answer
    x = 48,728.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.