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Finding the Third Proportional to 24,362 and 52,610

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Solution

The third proportional to 24,362 and 52,610 is: 113,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362 : 52,610 = 52,610 : x
  2. Step 2: Convert to fraction form
    24,362/52,610 = 52,610/x
  3. Step 3: Cross multiply
    24,362x = 52,610 × 52,610
  4. Step 4: Simplify right side
    24,362x = 2,767,812,100
  5. Step 5: Solve for x
    x = 2,767,812,100/24,362
  6. Step 6: Final answer
    x = 113,611.86

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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.