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Finding the Third Proportional to 6,114 and 6,681

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Solution

The third proportional to 6,114 and 6,681 is: 7,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 6,681 = 6,681 : x
  2. Step 2: Convert to fraction form
    6,114/6,681 = 6,681/x
  3. Step 3: Cross multiply
    6,114x = 6,681 × 6,681
  4. Step 4: Simplify right side
    6,114x = 44,635,761
  5. Step 5: Solve for x
    x = 44,635,761/6,114
  6. Step 6: Final answer
    x = 7,300.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.