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Finding the Third Proportional to 29,498 and 64,179

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Solution

The third proportional to 29,498 and 64,179 is: 139,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498 : 64,179 = 64,179 : x
  2. Step 2: Convert to fraction form
    29,498/64,179 = 64,179/x
  3. Step 3: Cross multiply
    29,498x = 64,179 × 64,179
  4. Step 4: Simplify right side
    29,498x = 4,118,944,041
  5. Step 5: Solve for x
    x = 4,118,944,041/29,498
  6. Step 6: Final answer
    x = 139,634.69

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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.