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Finding the Third Proportional to 15,321 and 22,983

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Solution

The third proportional to 15,321 and 22,983 is: 34,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321 : 22,983 = 22,983 : x
  2. Step 2: Convert to fraction form
    15,321/22,983 = 22,983/x
  3. Step 3: Cross multiply
    15,321x = 22,983 × 22,983
  4. Step 4: Simplify right side
    15,321x = 528,218,289
  5. Step 5: Solve for x
    x = 528,218,289/15,321
  6. Step 6: Final answer
    x = 34,476.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.