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Finding the Third Proportional to 24,424.88 and 53,269.31

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Solution

The third proportional to 24,424.88 and 53,269.31 is: 116,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.88 : 53,269.31 = 53,269.31 : x
  2. Step 2: Convert to fraction form
    24,424.88/53,269.31 = 53,269.31/x
  3. Step 3: Cross multiply
    24,424.88x = 53,269.31 × 53,269.31
  4. Step 4: Simplify right side
    24,424.88x = 2,837,619,654.22
  5. Step 5: Solve for x
    x = 2,837,619,654.22/24,424.88
  6. Step 6: Final answer
    x = 116,177.45

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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.