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Finding the Third Proportional to 24,777 and 53,442

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Solution

The third proportional to 24,777 and 53,442 is: 115,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777 : 53,442 = 53,442 : x
  2. Step 2: Convert to fraction form
    24,777/53,442 = 53,442/x
  3. Step 3: Cross multiply
    24,777x = 53,442 × 53,442
  4. Step 4: Simplify right side
    24,777x = 2,856,047,364
  5. Step 5: Solve for x
    x = 2,856,047,364/24,777
  6. Step 6: Final answer
    x = 115,270.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.