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Finding the Third Proportional to 24,409.13 and 53,489.25

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Solution

The third proportional to 24,409.13 and 53,489.25 is: 117,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.13 : 53,489.25 = 53,489.25 : x
  2. Step 2: Convert to fraction form
    24,409.13/53,489.25 = 53,489.25/x
  3. Step 3: Cross multiply
    24,409.13x = 53,489.25 × 53,489.25
  4. Step 4: Simplify right side
    24,409.13x = 2,861,099,865.56
  5. Step 5: Solve for x
    x = 2,861,099,865.56/24,409.13
  6. Step 6: Final answer
    x = 117,214.36

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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.