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Finding the Third Proportional to 23,702.34 and 50,778.28

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Solution

The third proportional to 23,702.34 and 50,778.28 is: 108,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.34 : 50,778.28 = 50,778.28 : x
  2. Step 2: Convert to fraction form
    23,702.34/50,778.28 = 50,778.28/x
  3. Step 3: Cross multiply
    23,702.34x = 50,778.28 × 50,778.28
  4. Step 4: Simplify right side
    23,702.34x = 2,578,433,846.70
  5. Step 5: Solve for x
    x = 2,578,433,846.70/23,702.34
  6. Step 6: Final answer
    x = 108,783.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.