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Finding the Third Proportional to 46,972 and 97,826

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Solution

The third proportional to 46,972 and 97,826 is: 203,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,972 : 97,826 = 97,826 : x
  2. Step 2: Convert to fraction form
    46,972/97,826 = 97,826/x
  3. Step 3: Cross multiply
    46,972x = 97,826 × 97,826
  4. Step 4: Simplify right side
    46,972x = 9,569,926,276
  5. Step 5: Solve for x
    x = 9,569,926,276/46,972
  6. Step 6: Final answer
    x = 203,736.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.