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Finding the Third Proportional to 25,702.23 and 38,339.42

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Solution

The third proportional to 25,702.23 and 38,339.42 is: 57,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.23 : 38,339.42 = 38,339.42 : x
  2. Step 2: Convert to fraction form
    25,702.23/38,339.42 = 38,339.42/x
  3. Step 3: Cross multiply
    25,702.23x = 38,339.42 × 38,339.42
  4. Step 4: Simplify right side
    25,702.23x = 1,469,911,119.95
  5. Step 5: Solve for x
    x = 1,469,911,119.95/25,702.23
  6. Step 6: Final answer
    x = 57,190.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.