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Finding the Third Proportional to 25,214.50 and 34,260.75

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Solution

The third proportional to 25,214.50 and 34,260.75 is: 46,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.50 : 34,260.75 = 34,260.75 : x
  2. Step 2: Convert to fraction form
    25,214.50/34,260.75 = 34,260.75/x
  3. Step 3: Cross multiply
    25,214.50x = 34,260.75 × 34,260.75
  4. Step 4: Simplify right side
    25,214.50x = 1,173,798,990.56
  5. Step 5: Solve for x
    x = 1,173,798,990.56/25,214.50
  6. Step 6: Final answer
    x = 46,552.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.