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Finding the Third Proportional to 15,607 and 24,823

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Solution

The third proportional to 15,607 and 24,823 is: 39,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607 : 24,823 = 24,823 : x
  2. Step 2: Convert to fraction form
    15,607/24,823 = 24,823/x
  3. Step 3: Cross multiply
    15,607x = 24,823 × 24,823
  4. Step 4: Simplify right side
    15,607x = 616,181,329
  5. Step 5: Solve for x
    x = 616,181,329/15,607
  6. Step 6: Final answer
    x = 39,481.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.