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Finding the Third Proportional to 26,280 and 60,777

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Solution

The third proportional to 26,280 and 60,777 is: 140,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,280 : 60,777 = 60,777 : x
  2. Step 2: Convert to fraction form
    26,280/60,777 = 60,777/x
  3. Step 3: Cross multiply
    26,280x = 60,777 × 60,777
  4. Step 4: Simplify right side
    26,280x = 3,693,843,729
  5. Step 5: Solve for x
    x = 3,693,843,729/26,280
  6. Step 6: Final answer
    x = 140,557.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.