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Finding the Third Proportional to 25,651.69 and 34,509.80

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Solution

The third proportional to 25,651.69 and 34,509.80 is: 46,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.69 : 34,509.80 = 34,509.80 : x
  2. Step 2: Convert to fraction form
    25,651.69/34,509.80 = 34,509.80/x
  3. Step 3: Cross multiply
    25,651.69x = 34,509.80 × 34,509.80
  4. Step 4: Simplify right side
    25,651.69x = 1,190,926,080.35
  5. Step 5: Solve for x
    x = 1,190,926,080.35/25,651.69
  6. Step 6: Final answer
    x = 46,426.81

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Why These Related Problems?

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