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Finding the Third Proportional to 32,565 and 68,937

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Solution

The third proportional to 32,565 and 68,937 is: 145,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565 : 68,937 = 68,937 : x
  2. Step 2: Convert to fraction form
    32,565/68,937 = 68,937/x
  3. Step 3: Cross multiply
    32,565x = 68,937 × 68,937
  4. Step 4: Simplify right side
    32,565x = 4,752,309,969
  5. Step 5: Solve for x
    x = 4,752,309,969/32,565
  6. Step 6: Final answer
    x = 145,933.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.