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Finding the Third Proportional to 35,846 and 77,826

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Solution

The third proportional to 35,846 and 77,826 is: 168,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,846 : 77,826 = 77,826 : x
  2. Step 2: Convert to fraction form
    35,846/77,826 = 77,826/x
  3. Step 3: Cross multiply
    35,846x = 77,826 × 77,826
  4. Step 4: Simplify right side
    35,846x = 6,056,886,276
  5. Step 5: Solve for x
    x = 6,056,886,276/35,846
  6. Step 6: Final answer
    x = 168,969.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.