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Finding the Third Proportional to 6,415 and 10,081

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Solution

The third proportional to 6,415 and 10,081 is: 15,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 10,081 = 10,081 : x
  2. Step 2: Convert to fraction form
    6,415/10,081 = 10,081/x
  3. Step 3: Cross multiply
    6,415x = 10,081 × 10,081
  4. Step 4: Simplify right side
    6,415x = 101,626,561
  5. Step 5: Solve for x
    x = 101,626,561/6,415
  6. Step 6: Final answer
    x = 15,842.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.