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Finding the Third Proportional to 32,044 and 68,826

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Solution

The third proportional to 32,044 and 68,826 is: 147,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044 : 68,826 = 68,826 : x
  2. Step 2: Convert to fraction form
    32,044/68,826 = 68,826/x
  3. Step 3: Cross multiply
    32,044x = 68,826 × 68,826
  4. Step 4: Simplify right side
    32,044x = 4,737,018,276
  5. Step 5: Solve for x
    x = 4,737,018,276/32,044
  6. Step 6: Final answer
    x = 147,828.56

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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.