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Finding the Third Proportional to 5,320 and 6,024

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Solution

The third proportional to 5,320 and 6,024 is: 6,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320 : 6,024 = 6,024 : x
  2. Step 2: Convert to fraction form
    5,320/6,024 = 6,024/x
  3. Step 3: Cross multiply
    5,320x = 6,024 × 6,024
  4. Step 4: Simplify right side
    5,320x = 36,288,576
  5. Step 5: Solve for x
    x = 36,288,576/5,320
  6. Step 6: Final answer
    x = 6,821.16

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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.