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Finding the Third Proportional to 6,415 and 9,906

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Solution

The third proportional to 6,415 and 9,906 is: 15,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 9,906 = 9,906 : x
  2. Step 2: Convert to fraction form
    6,415/9,906 = 9,906/x
  3. Step 3: Cross multiply
    6,415x = 9,906 × 9,906
  4. Step 4: Simplify right side
    6,415x = 98,128,836
  5. Step 5: Solve for x
    x = 98,128,836/6,415
  6. Step 6: Final answer
    x = 15,296.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.