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Finding the Third Proportional to 1,138 and 2,506

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Solution

The third proportional to 1,138 and 2,506 is: 5,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138 : 2,506 = 2,506 : x
  2. Step 2: Convert to fraction form
    1,138/2,506 = 2,506/x
  3. Step 3: Cross multiply
    1,138x = 2,506 × 2,506
  4. Step 4: Simplify right side
    1,138x = 6,280,036
  5. Step 5: Solve for x
    x = 6,280,036/1,138
  6. Step 6: Final answer
    x = 5,518.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.