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Finding the Third Proportional to 25,651.69 and 44,503.17

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Solution

The third proportional to 25,651.69 and 44,503.17 is: 77,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.69 : 44,503.17 = 44,503.17 : x
  2. Step 2: Convert to fraction form
    25,651.69/44,503.17 = 44,503.17/x
  3. Step 3: Cross multiply
    25,651.69x = 44,503.17 × 44,503.17
  4. Step 4: Simplify right side
    25,651.69x = 1,980,532,306.94
  5. Step 5: Solve for x
    x = 1,980,532,306.94/25,651.69
  6. Step 6: Final answer
    x = 77,208.66

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.