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Finding the Third Proportional to 24,356 and 53,086

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Solution

The third proportional to 24,356 and 53,086 is: 115,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356 : 53,086 = 53,086 : x
  2. Step 2: Convert to fraction form
    24,356/53,086 = 53,086/x
  3. Step 3: Cross multiply
    24,356x = 53,086 × 53,086
  4. Step 4: Simplify right side
    24,356x = 2,818,123,396
  5. Step 5: Solve for x
    x = 2,818,123,396/24,356
  6. Step 6: Final answer
    x = 115,705.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.