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Finding the Third Proportional to 24,269 and 53,071

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Solution

The third proportional to 24,269 and 53,071 is: 116,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269 : 53,071 = 53,071 : x
  2. Step 2: Convert to fraction form
    24,269/53,071 = 53,071/x
  3. Step 3: Cross multiply
    24,269x = 53,071 × 53,071
  4. Step 4: Simplify right side
    24,269x = 2,816,531,041
  5. Step 5: Solve for x
    x = 2,816,531,041/24,269
  6. Step 6: Final answer
    x = 116,054.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.