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Finding the Third Proportional to 32,853 and 68,986

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Solution

The third proportional to 32,853 and 68,986 is: 144,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853 : 68,986 = 68,986 : x
  2. Step 2: Convert to fraction form
    32,853/68,986 = 68,986/x
  3. Step 3: Cross multiply
    32,853x = 68,986 × 68,986
  4. Step 4: Simplify right side
    32,853x = 4,759,068,196
  5. Step 5: Solve for x
    x = 4,759,068,196/32,853
  6. Step 6: Final answer
    x = 144,859.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.