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Finding the Third Proportional to 29,952 and 64,278

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Solution

The third proportional to 29,952 and 64,278 is: 137,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952 : 64,278 = 64,278 : x
  2. Step 2: Convert to fraction form
    29,952/64,278 = 64,278/x
  3. Step 3: Cross multiply
    29,952x = 64,278 × 64,278
  4. Step 4: Simplify right side
    29,952x = 4,131,661,284
  5. Step 5: Solve for x
    x = 4,131,661,284/29,952
  6. Step 6: Final answer
    x = 137,942.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.