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Finding the Third Proportional to 14,821.50 and 26,353

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Solution

The third proportional to 14,821.50 and 26,353 is: 46,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.50 : 26,353 = 26,353 : x
  2. Step 2: Convert to fraction form
    14,821.50/26,353 = 26,353/x
  3. Step 3: Cross multiply
    14,821.50x = 26,353 × 26,353
  4. Step 4: Simplify right side
    14,821.50x = 694,480,609
  5. Step 5: Solve for x
    x = 694,480,609/14,821.50
  6. Step 6: Final answer
    x = 46,856.30

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.