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Finding the Third Proportional to 6,415 and 8,625

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Solution

The third proportional to 6,415 and 8,625 is: 11,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 8,625 = 8,625 : x
  2. Step 2: Convert to fraction form
    6,415/8,625 = 8,625/x
  3. Step 3: Cross multiply
    6,415x = 8,625 × 8,625
  4. Step 4: Simplify right side
    6,415x = 74,390,625
  5. Step 5: Solve for x
    x = 74,390,625/6,415
  6. Step 6: Final answer
    x = 11,596.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.