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Finding the Third Proportional to 15,984 and 23,544

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Solution

The third proportional to 15,984 and 23,544 is: 34,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 23,544 = 23,544 : x
  2. Step 2: Convert to fraction form
    15,984/23,544 = 23,544/x
  3. Step 3: Cross multiply
    15,984x = 23,544 × 23,544
  4. Step 4: Simplify right side
    15,984x = 554,319,936
  5. Step 5: Solve for x
    x = 554,319,936/15,984
  6. Step 6: Final answer
    x = 34,679.68

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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.