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Finding the Third Proportional to 4,098 and 4,506

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Solution

The third proportional to 4,098 and 4,506 is: 4,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 4,506 = 4,506 : x
  2. Step 2: Convert to fraction form
    4,098/4,506 = 4,506/x
  3. Step 3: Cross multiply
    4,098x = 4,506 × 4,506
  4. Step 4: Simplify right side
    4,098x = 20,304,036
  5. Step 5: Solve for x
    x = 20,304,036/4,098
  6. Step 6: Final answer
    x = 4,954.62

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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.