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Finding the Third Proportional to 5,290 and 12,301

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Solution

The third proportional to 5,290 and 12,301 is: 28,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 12,301 = 12,301 : x
  2. Step 2: Convert to fraction form
    5,290/12,301 = 12,301/x
  3. Step 3: Cross multiply
    5,290x = 12,301 × 12,301
  4. Step 4: Simplify right side
    5,290x = 151,314,601
  5. Step 5: Solve for x
    x = 151,314,601/5,290
  6. Step 6: Final answer
    x = 28,603.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.