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Finding the Third Proportional to 10,587.38 and 22,580.44

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Solution

The third proportional to 10,587.38 and 22,580.44 is: 48,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.38 : 22,580.44 = 22,580.44 : x
  2. Step 2: Convert to fraction form
    10,587.38/22,580.44 = 22,580.44/x
  3. Step 3: Cross multiply
    10,587.38x = 22,580.44 × 22,580.44
  4. Step 4: Simplify right side
    10,587.38x = 509,876,157.69
  5. Step 5: Solve for x
    x = 509,876,157.69/10,587.38
  6. Step 6: Final answer
    x = 48,158.88

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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.