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Finding the Third Proportional to 15,329 and 23,813

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Solution

The third proportional to 15,329 and 23,813 is: 36,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,329 : 23,813 = 23,813 : x
  2. Step 2: Convert to fraction form
    15,329/23,813 = 23,813/x
  3. Step 3: Cross multiply
    15,329x = 23,813 × 23,813
  4. Step 4: Simplify right side
    15,329x = 567,058,969
  5. Step 5: Solve for x
    x = 567,058,969/15,329
  6. Step 6: Final answer
    x = 36,992.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.