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Finding the Third Proportional to 6,596 and 7,428

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Solution

The third proportional to 6,596 and 7,428 is: 8,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 7,428 = 7,428 : x
  2. Step 2: Convert to fraction form
    6,596/7,428 = 7,428/x
  3. Step 3: Cross multiply
    6,596x = 7,428 × 7,428
  4. Step 4: Simplify right side
    6,596x = 55,175,184
  5. Step 5: Solve for x
    x = 55,175,184/6,596
  6. Step 6: Final answer
    x = 8,364.95

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.