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Finding the Third Proportional to 23,874.75 and 32,774.63

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Solution

The third proportional to 23,874.75 and 32,774.63 is: 44,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.75 : 32,774.63 = 32,774.63 : x
  2. Step 2: Convert to fraction form
    23,874.75/32,774.63 = 32,774.63/x
  3. Step 3: Cross multiply
    23,874.75x = 32,774.63 × 32,774.63
  4. Step 4: Simplify right side
    23,874.75x = 1,074,176,043.89
  5. Step 5: Solve for x
    x = 1,074,176,043.89/23,874.75
  6. Step 6: Final answer
    x = 44,992.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.