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Finding the Third Proportional to 29,273 and 63,892

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Solution

The third proportional to 29,273 and 63,892 is: 139,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,273 : 63,892 = 63,892 : x
  2. Step 2: Convert to fraction form
    29,273/63,892 = 63,892/x
  3. Step 3: Cross multiply
    29,273x = 63,892 × 63,892
  4. Step 4: Simplify right side
    29,273x = 4,082,187,664
  5. Step 5: Solve for x
    x = 4,082,187,664/29,273
  6. Step 6: Final answer
    x = 139,452.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.