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Finding the Third Proportional to 29,443 and 64,388

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Solution

The third proportional to 29,443 and 64,388 is: 140,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,443 : 64,388 = 64,388 : x
  2. Step 2: Convert to fraction form
    29,443/64,388 = 64,388/x
  3. Step 3: Cross multiply
    29,443x = 64,388 × 64,388
  4. Step 4: Simplify right side
    29,443x = 4,145,814,544
  5. Step 5: Solve for x
    x = 4,145,814,544/29,443
  6. Step 6: Final answer
    x = 140,808.16

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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.