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Finding the Third Proportional to 5,348 and 7,502

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Solution

The third proportional to 5,348 and 7,502 is: 10,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348 : 7,502 = 7,502 : x
  2. Step 2: Convert to fraction form
    5,348/7,502 = 7,502/x
  3. Step 3: Cross multiply
    5,348x = 7,502 × 7,502
  4. Step 4: Simplify right side
    5,348x = 56,280,004
  5. Step 5: Solve for x
    x = 56,280,004/5,348
  6. Step 6: Final answer
    x = 10,523.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.