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Finding the Third Proportional to 2,506 and 4,538

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Solution

The third proportional to 2,506 and 4,538 is: 8,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506 : 4,538 = 4,538 : x
  2. Step 2: Convert to fraction form
    2,506/4,538 = 4,538/x
  3. Step 3: Cross multiply
    2,506x = 4,538 × 4,538
  4. Step 4: Simplify right side
    2,506x = 20,593,444
  5. Step 5: Solve for x
    x = 20,593,444/2,506
  6. Step 6: Final answer
    x = 8,217.66

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.