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Finding the Third Proportional to 10,354.08 and 22,591.41

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Solution

The third proportional to 10,354.08 and 22,591.41 is: 49,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.08 : 22,591.41 = 22,591.41 : x
  2. Step 2: Convert to fraction form
    10,354.08/22,591.41 = 22,591.41/x
  3. Step 3: Cross multiply
    10,354.08x = 22,591.41 × 22,591.41
  4. Step 4: Simplify right side
    10,354.08x = 510,371,636.35
  5. Step 5: Solve for x
    x = 510,371,636.35/10,354.08
  6. Step 6: Final answer
    x = 49,291.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.