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Finding the Third Proportional to 6,560 and 9,596

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Solution

The third proportional to 6,560 and 9,596 is: 14,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560 : 9,596 = 9,596 : x
  2. Step 2: Convert to fraction form
    6,560/9,596 = 9,596/x
  3. Step 3: Cross multiply
    6,560x = 9,596 × 9,596
  4. Step 4: Simplify right side
    6,560x = 92,083,216
  5. Step 5: Solve for x
    x = 92,083,216/6,560
  6. Step 6: Final answer
    x = 14,037.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.