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Finding the Third Proportional to 14,082 and 22,297

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Solution

The third proportional to 14,082 and 22,297 is: 35,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082 : 22,297 = 22,297 : x
  2. Step 2: Convert to fraction form
    14,082/22,297 = 22,297/x
  3. Step 3: Cross multiply
    14,082x = 22,297 × 22,297
  4. Step 4: Simplify right side
    14,082x = 497,156,209
  5. Step 5: Solve for x
    x = 497,156,209/14,082
  6. Step 6: Final answer
    x = 35,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.