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Finding the Third Proportional to 29,578 and 64,826

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Solution

The third proportional to 29,578 and 64,826 is: 142,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578 : 64,826 = 64,826 : x
  2. Step 2: Convert to fraction form
    29,578/64,826 = 64,826/x
  3. Step 3: Cross multiply
    29,578x = 64,826 × 64,826
  4. Step 4: Simplify right side
    29,578x = 4,202,410,276
  5. Step 5: Solve for x
    x = 4,202,410,276/29,578
  6. Step 6: Final answer
    x = 142,078.92

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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.