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Finding the Third Proportional to 11,214 and 24,297

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Solution

The third proportional to 11,214 and 24,297 is: 52,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214 : 24,297 = 24,297 : x
  2. Step 2: Convert to fraction form
    11,214/24,297 = 24,297/x
  3. Step 3: Cross multiply
    11,214x = 24,297 × 24,297
  4. Step 4: Simplify right side
    11,214x = 590,344,209
  5. Step 5: Solve for x
    x = 590,344,209/11,214
  6. Step 6: Final answer
    x = 52,643.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.