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Finding the Third Proportional to 29,022 and 63,511

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Solution

The third proportional to 29,022 and 63,511 is: 138,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,022 : 63,511 = 63,511 : x
  2. Step 2: Convert to fraction form
    29,022/63,511 = 63,511/x
  3. Step 3: Cross multiply
    29,022x = 63,511 × 63,511
  4. Step 4: Simplify right side
    29,022x = 4,033,647,121
  5. Step 5: Solve for x
    x = 4,033,647,121/29,022
  6. Step 6: Final answer
    x = 138,985.84

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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.