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Finding the Third Proportional to 32,607 and 68,717

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Solution

The third proportional to 32,607 and 68,717 is: 144,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607 : 68,717 = 68,717 : x
  2. Step 2: Convert to fraction form
    32,607/68,717 = 68,717/x
  3. Step 3: Cross multiply
    32,607x = 68,717 × 68,717
  4. Step 4: Simplify right side
    32,607x = 4,722,026,089
  5. Step 5: Solve for x
    x = 4,722,026,089/32,607
  6. Step 6: Final answer
    x = 144,816.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.