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Finding the Third Proportional to 24,653.38 and 53,999.75

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Solution

The third proportional to 24,653.38 and 53,999.75 is: 118,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653.38 : 53,999.75 = 53,999.75 : x
  2. Step 2: Convert to fraction form
    24,653.38/53,999.75 = 53,999.75/x
  3. Step 3: Cross multiply
    24,653.38x = 53,999.75 × 53,999.75
  4. Step 4: Simplify right side
    24,653.38x = 2,915,973,000.06
  5. Step 5: Solve for x
    x = 2,915,973,000.06/24,653.38
  6. Step 6: Final answer
    x = 118,278.86

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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.