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Finding the Third Proportional to 6,186.38 and 6,915.38

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Solution

The third proportional to 6,186.38 and 6,915.38 is: 7,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.38 : 6,915.38 = 6,915.38 : x
  2. Step 2: Convert to fraction form
    6,186.38/6,915.38 = 6,915.38/x
  3. Step 3: Cross multiply
    6,186.38x = 6,915.38 × 6,915.38
  4. Step 4: Simplify right side
    6,186.38x = 47,822,411.39
  5. Step 5: Solve for x
    x = 47,822,411.39/6,186.38
  6. Step 6: Final answer
    x = 7,730.28

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.