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Finding the Third Proportional to 29,034 and 63,601

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Solution

The third proportional to 29,034 and 63,601 is: 139,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,034 : 63,601 = 63,601 : x
  2. Step 2: Convert to fraction form
    29,034/63,601 = 63,601/x
  3. Step 3: Cross multiply
    29,034x = 63,601 × 63,601
  4. Step 4: Simplify right side
    29,034x = 4,045,087,201
  5. Step 5: Solve for x
    x = 4,045,087,201/29,034
  6. Step 6: Final answer
    x = 139,322.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.