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Finding the Third Proportional to 29,508 and 64,196

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Solution

The third proportional to 29,508 and 64,196 is: 139,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,508 : 64,196 = 64,196 : x
  2. Step 2: Convert to fraction form
    29,508/64,196 = 64,196/x
  3. Step 3: Cross multiply
    29,508x = 64,196 × 64,196
  4. Step 4: Simplify right side
    29,508x = 4,121,126,416
  5. Step 5: Solve for x
    x = 4,121,126,416/29,508
  6. Step 6: Final answer
    x = 139,661.33

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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.