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Finding the Third Proportional to 32,565 and 66,858

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Solution

The third proportional to 32,565 and 66,858 is: 137,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565 : 66,858 = 66,858 : x
  2. Step 2: Convert to fraction form
    32,565/66,858 = 66,858/x
  3. Step 3: Cross multiply
    32,565x = 66,858 × 66,858
  4. Step 4: Simplify right side
    32,565x = 4,469,992,164
  5. Step 5: Solve for x
    x = 4,469,992,164/32,565
  6. Step 6: Final answer
    x = 137,263.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.