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Finding the Third Proportional to 13,214 and 28,885

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Solution

The third proportional to 13,214 and 28,885 is: 63,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214 : 28,885 = 28,885 : x
  2. Step 2: Convert to fraction form
    13,214/28,885 = 28,885/x
  3. Step 3: Cross multiply
    13,214x = 28,885 × 28,885
  4. Step 4: Simplify right side
    13,214x = 834,343,225
  5. Step 5: Solve for x
    x = 834,343,225/13,214
  6. Step 6: Final answer
    x = 63,140.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.