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Finding the Third Proportional to 24,801.19 and 38,431.97

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Solution

The third proportional to 24,801.19 and 38,431.97 is: 59,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.19 : 38,431.97 = 38,431.97 : x
  2. Step 2: Convert to fraction form
    24,801.19/38,431.97 = 38,431.97/x
  3. Step 3: Cross multiply
    24,801.19x = 38,431.97 × 38,431.97
  4. Step 4: Simplify right side
    24,801.19x = 1,477,016,222.00
  5. Step 5: Solve for x
    x = 1,477,016,222.00/24,801.19
  6. Step 6: Final answer
    x = 59,554.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.