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Finding the Third Proportional to 26,280 and 54,776

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Solution

The third proportional to 26,280 and 54,776 is: 114,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,280 : 54,776 = 54,776 : x
  2. Step 2: Convert to fraction form
    26,280/54,776 = 54,776/x
  3. Step 3: Cross multiply
    26,280x = 54,776 × 54,776
  4. Step 4: Simplify right side
    26,280x = 3,000,410,176
  5. Step 5: Solve for x
    x = 3,000,410,176/26,280
  6. Step 6: Final answer
    x = 114,170.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.