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Finding the Third Proportional to 23,046.38 and 34,781.63

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Solution

The third proportional to 23,046.38 and 34,781.63 is: 52,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.38 : 34,781.63 = 34,781.63 : x
  2. Step 2: Convert to fraction form
    23,046.38/34,781.63 = 34,781.63/x
  3. Step 3: Cross multiply
    23,046.38x = 34,781.63 × 34,781.63
  4. Step 4: Simplify right side
    23,046.38x = 1,209,761,437.64
  5. Step 5: Solve for x
    x = 1,209,761,437.64/23,046.38
  6. Step 6: Final answer
    x = 52,492.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.