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Finding the Third Proportional to 10,558.69 and 22,742.44

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Solution

The third proportional to 10,558.69 and 22,742.44 is: 48,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.69 : 22,742.44 = 22,742.44 : x
  2. Step 2: Convert to fraction form
    10,558.69/22,742.44 = 22,742.44/x
  3. Step 3: Cross multiply
    10,558.69x = 22,742.44 × 22,742.44
  4. Step 4: Simplify right side
    10,558.69x = 517,218,463.44
  5. Step 5: Solve for x
    x = 517,218,463.44/10,558.69
  6. Step 6: Final answer
    x = 48,985.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.