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Finding the Third Proportional to 10,454.25 and 25,284.75

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Solution

The third proportional to 10,454.25 and 25,284.75 is: 61,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.25 : 25,284.75 = 25,284.75 : x
  2. Step 2: Convert to fraction form
    10,454.25/25,284.75 = 25,284.75/x
  3. Step 3: Cross multiply
    10,454.25x = 25,284.75 × 25,284.75
  4. Step 4: Simplify right side
    10,454.25x = 639,318,582.56
  5. Step 5: Solve for x
    x = 639,318,582.56/10,454.25
  6. Step 6: Final answer
    x = 61,153.94

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.