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Finding the Third Proportional to 5,113.13 and 11,033.88

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Solution

The third proportional to 5,113.13 and 11,033.88 is: 23,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.13 : 11,033.88 = 11,033.88 : x
  2. Step 2: Convert to fraction form
    5,113.13/11,033.88 = 11,033.88/x
  3. Step 3: Cross multiply
    5,113.13x = 11,033.88 × 11,033.88
  4. Step 4: Simplify right side
    5,113.13x = 121,746,397.52
  5. Step 5: Solve for x
    x = 121,746,397.52/5,113.13
  6. Step 6: Final answer
    x = 23,810.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.