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Finding the Third Proportional to 25,707.38 and 38,834.44

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Solution

The third proportional to 25,707.38 and 38,834.44 is: 58,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707.38 : 38,834.44 = 38,834.44 : x
  2. Step 2: Convert to fraction form
    25,707.38/38,834.44 = 38,834.44/x
  3. Step 3: Cross multiply
    25,707.38x = 38,834.44 × 38,834.44
  4. Step 4: Simplify right side
    25,707.38x = 1,508,113,535.94
  5. Step 5: Solve for x
    x = 1,508,113,535.94/25,707.38
  6. Step 6: Final answer
    x = 58,664.63

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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.