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Finding the Third Proportional to 24,916 and 34,890

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Solution

The third proportional to 24,916 and 34,890 is: 48,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,916 : 34,890 = 34,890 : x
  2. Step 2: Convert to fraction form
    24,916/34,890 = 34,890/x
  3. Step 3: Cross multiply
    24,916x = 34,890 × 34,890
  4. Step 4: Simplify right side
    24,916x = 1,217,312,100
  5. Step 5: Solve for x
    x = 1,217,312,100/24,916
  6. Step 6: Final answer
    x = 48,856.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.