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Finding the Third Proportional to 25,651.69 and 47,886.19

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Solution

The third proportional to 25,651.69 and 47,886.19 is: 89,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.69 : 47,886.19 = 47,886.19 : x
  2. Step 2: Convert to fraction form
    25,651.69/47,886.19 = 47,886.19/x
  3. Step 3: Cross multiply
    25,651.69x = 47,886.19 × 47,886.19
  4. Step 4: Simplify right side
    25,651.69x = 2,293,086,953.29
  5. Step 5: Solve for x
    x = 2,293,086,953.29/25,651.69
  6. Step 6: Final answer
    x = 89,393.22

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.