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Finding the Third Proportional to 1,147 and 2,506

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Solution

The third proportional to 1,147 and 2,506 is: 5,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147 : 2,506 = 2,506 : x
  2. Step 2: Convert to fraction form
    1,147/2,506 = 2,506/x
  3. Step 3: Cross multiply
    1,147x = 2,506 × 2,506
  4. Step 4: Simplify right side
    1,147x = 6,280,036
  5. Step 5: Solve for x
    x = 6,280,036/1,147
  6. Step 6: Final answer
    x = 5,475.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.