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Finding the Third Proportional to 7,354 and 8,002

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Solution

The third proportional to 7,354 and 8,002 is: 8,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354 : 8,002 = 8,002 : x
  2. Step 2: Convert to fraction form
    7,354/8,002 = 8,002/x
  3. Step 3: Cross multiply
    7,354x = 8,002 × 8,002
  4. Step 4: Simplify right side
    7,354x = 64,032,004
  5. Step 5: Solve for x
    x = 64,032,004/7,354
  6. Step 6: Final answer
    x = 8,707.10

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.