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Finding the Third Proportional to 18,952 and 29,665

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Solution

The third proportional to 18,952 and 29,665 is: 46,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,952 : 29,665 = 29,665 : x
  2. Step 2: Convert to fraction form
    18,952/29,665 = 29,665/x
  3. Step 3: Cross multiply
    18,952x = 29,665 × 29,665
  4. Step 4: Simplify right side
    18,952x = 880,012,225
  5. Step 5: Solve for x
    x = 880,012,225/18,952
  6. Step 6: Final answer
    x = 46,433.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.