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Finding the Third Proportional to 5,192 and 7,506

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Solution

The third proportional to 5,192 and 7,506 is: 10,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 7,506 = 7,506 : x
  2. Step 2: Convert to fraction form
    5,192/7,506 = 7,506/x
  3. Step 3: Cross multiply
    5,192x = 7,506 × 7,506
  4. Step 4: Simplify right side
    5,192x = 56,340,036
  5. Step 5: Solve for x
    x = 56,340,036/5,192
  6. Step 6: Final answer
    x = 10,851.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.