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Finding the Third Proportional to 15,394.22 and 23,770.97

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Solution

The third proportional to 15,394.22 and 23,770.97 is: 36,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394.22 : 23,770.97 = 23,770.97 : x
  2. Step 2: Convert to fraction form
    15,394.22/23,770.97 = 23,770.97/x
  3. Step 3: Cross multiply
    15,394.22x = 23,770.97 × 23,770.97
  4. Step 4: Simplify right side
    15,394.22x = 565,058,955.31
  5. Step 5: Solve for x
    x = 565,058,955.31/15,394.22
  6. Step 6: Final answer
    x = 36,705.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.