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Finding the Third Proportional to 7,041.38 and 15,186.38

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Solution

The third proportional to 7,041.38 and 15,186.38 is: 32,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.38 : 15,186.38 = 15,186.38 : x
  2. Step 2: Convert to fraction form
    7,041.38/15,186.38 = 15,186.38/x
  3. Step 3: Cross multiply
    7,041.38x = 15,186.38 × 15,186.38
  4. Step 4: Simplify right side
    7,041.38x = 230,625,985.64
  5. Step 5: Solve for x
    x = 230,625,985.64/7,041.38
  6. Step 6: Final answer
    x = 32,752.98

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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.