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Finding the Third Proportional to 25,785 and 34,789.50

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Solution

The third proportional to 25,785 and 34,789.50 is: 46,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785 : 34,789.50 = 34,789.50 : x
  2. Step 2: Convert to fraction form
    25,785/34,789.50 = 34,789.50/x
  3. Step 3: Cross multiply
    25,785x = 34,789.50 × 34,789.50
  4. Step 4: Simplify right side
    25,785x = 1,210,309,310.25
  5. Step 5: Solve for x
    x = 1,210,309,310.25/25,785
  6. Step 6: Final answer
    x = 46,938.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.