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Finding the Third Proportional to 5,140.65 and 11,263.11

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Solution

The third proportional to 5,140.65 and 11,263.11 is: 24,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.65 : 11,263.11 = 11,263.11 : x
  2. Step 2: Convert to fraction form
    5,140.65/11,263.11 = 11,263.11/x
  3. Step 3: Cross multiply
    5,140.65x = 11,263.11 × 11,263.11
  4. Step 4: Simplify right side
    5,140.65x = 126,857,720.79
  5. Step 5: Solve for x
    x = 126,857,720.79/5,140.65
  6. Step 6: Final answer
    x = 24,677.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.