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Finding the Third Proportional to 23,776 and 51,220

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Solution

The third proportional to 23,776 and 51,220 is: 110,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 51,220 = 51,220 : x
  2. Step 2: Convert to fraction form
    23,776/51,220 = 51,220/x
  3. Step 3: Cross multiply
    23,776x = 51,220 × 51,220
  4. Step 4: Simplify right side
    23,776x = 2,623,488,400
  5. Step 5: Solve for x
    x = 2,623,488,400/23,776
  6. Step 6: Final answer
    x = 110,341.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.