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Finding the Third Proportional to 7,543.13 and 16,255.69

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Solution

The third proportional to 7,543.13 and 16,255.69 is: 35,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.13 : 16,255.69 = 16,255.69 : x
  2. Step 2: Convert to fraction form
    7,543.13/16,255.69 = 16,255.69/x
  3. Step 3: Cross multiply
    7,543.13x = 16,255.69 × 16,255.69
  4. Step 4: Simplify right side
    7,543.13x = 264,247,376.10
  5. Step 5: Solve for x
    x = 264,247,376.10/7,543.13
  6. Step 6: Final answer
    x = 35,031.55

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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.