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Finding the Third Proportional to 5,288 and 6,032

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Solution

The third proportional to 5,288 and 6,032 is: 6,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288 : 6,032 = 6,032 : x
  2. Step 2: Convert to fraction form
    5,288/6,032 = 6,032/x
  3. Step 3: Cross multiply
    5,288x = 6,032 × 6,032
  4. Step 4: Simplify right side
    5,288x = 36,385,024
  5. Step 5: Solve for x
    x = 36,385,024/5,288
  6. Step 6: Final answer
    x = 6,880.68

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.