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Finding the Third Proportional to 15,522.26 and 24,589.51

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Solution

The third proportional to 15,522.26 and 24,589.51 is: 38,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522.26 : 24,589.51 = 24,589.51 : x
  2. Step 2: Convert to fraction form
    15,522.26/24,589.51 = 24,589.51/x
  3. Step 3: Cross multiply
    15,522.26x = 24,589.51 × 24,589.51
  4. Step 4: Simplify right side
    15,522.26x = 604,644,086.57
  5. Step 5: Solve for x
    x = 604,644,086.57/15,522.26
  6. Step 6: Final answer
    x = 38,953.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.