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Finding the Third Proportional to 7,280 and 8,024

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Solution

The third proportional to 7,280 and 8,024 is: 8,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280 : 8,024 = 8,024 : x
  2. Step 2: Convert to fraction form
    7,280/8,024 = 8,024/x
  3. Step 3: Cross multiply
    7,280x = 8,024 × 8,024
  4. Step 4: Simplify right side
    7,280x = 64,384,576
  5. Step 5: Solve for x
    x = 64,384,576/7,280
  6. Step 6: Final answer
    x = 8,844.04

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.