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Finding the Third Proportional to 17,364 and 24,648

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Solution

The third proportional to 17,364 and 24,648 is: 34,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364 : 24,648 = 24,648 : x
  2. Step 2: Convert to fraction form
    17,364/24,648 = 24,648/x
  3. Step 3: Cross multiply
    17,364x = 24,648 × 24,648
  4. Step 4: Simplify right side
    17,364x = 607,523,904
  5. Step 5: Solve for x
    x = 607,523,904/17,364
  6. Step 6: Final answer
    x = 34,987.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.