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Finding the Third Proportional to 24,653 and 53,914

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Solution

The third proportional to 24,653 and 53,914 is: 117,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653 : 53,914 = 53,914 : x
  2. Step 2: Convert to fraction form
    24,653/53,914 = 53,914/x
  3. Step 3: Cross multiply
    24,653x = 53,914 × 53,914
  4. Step 4: Simplify right side
    24,653x = 2,906,719,396
  5. Step 5: Solve for x
    x = 2,906,719,396/24,653
  6. Step 6: Final answer
    x = 117,905.30

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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.