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Finding the Third Proportional to 15,984 and 23,512

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Solution

The third proportional to 15,984 and 23,512 is: 34,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 23,512 = 23,512 : x
  2. Step 2: Convert to fraction form
    15,984/23,512 = 23,512/x
  3. Step 3: Cross multiply
    15,984x = 23,512 × 23,512
  4. Step 4: Simplify right side
    15,984x = 552,814,144
  5. Step 5: Solve for x
    x = 552,814,144/15,984
  6. Step 6: Final answer
    x = 34,585.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.