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Finding the Third Proportional to 25,717.50 and 34,293.38

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Solution

The third proportional to 25,717.50 and 34,293.38 is: 45,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,717.50 : 34,293.38 = 34,293.38 : x
  2. Step 2: Convert to fraction form
    25,717.50/34,293.38 = 34,293.38/x
  3. Step 3: Cross multiply
    25,717.50x = 34,293.38 × 34,293.38
  4. Step 4: Simplify right side
    25,717.50x = 1,176,035,568.89
  5. Step 5: Solve for x
    x = 1,176,035,568.89/25,717.50
  6. Step 6: Final answer
    x = 45,729.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.