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Finding the Third Proportional to 29,775 and 64,224

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Solution

The third proportional to 29,775 and 64,224 is: 138,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,775 : 64,224 = 64,224 : x
  2. Step 2: Convert to fraction form
    29,775/64,224 = 64,224/x
  3. Step 3: Cross multiply
    29,775x = 64,224 × 64,224
  4. Step 4: Simplify right side
    29,775x = 4,124,722,176
  5. Step 5: Solve for x
    x = 4,124,722,176/29,775
  6. Step 6: Final answer
    x = 138,529.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.