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Finding the Third Proportional to 10,574.30 and 25,051.78

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Solution

The third proportional to 10,574.30 and 25,051.78 is: 59,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.30 : 25,051.78 = 25,051.78 : x
  2. Step 2: Convert to fraction form
    10,574.30/25,051.78 = 25,051.78/x
  3. Step 3: Cross multiply
    10,574.30x = 25,051.78 × 25,051.78
  4. Step 4: Simplify right side
    10,574.30x = 627,591,743.80
  5. Step 5: Solve for x
    x = 627,591,743.80/10,574.30
  6. Step 6: Final answer
    x = 59,350.68

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.