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Finding the Third Proportional to 16,270 and 24,297

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Solution

The third proportional to 16,270 and 24,297 is: 36,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270 : 24,297 = 24,297 : x
  2. Step 2: Convert to fraction form
    16,270/24,297 = 24,297/x
  3. Step 3: Cross multiply
    16,270x = 24,297 × 24,297
  4. Step 4: Simplify right side
    16,270x = 590,344,209
  5. Step 5: Solve for x
    x = 590,344,209/16,270
  6. Step 6: Final answer
    x = 36,284.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.