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Finding the Third Proportional to 32,563 and 68,933

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Solution

The third proportional to 32,563 and 68,933 is: 145,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563 : 68,933 = 68,933 : x
  2. Step 2: Convert to fraction form
    32,563/68,933 = 68,933/x
  3. Step 3: Cross multiply
    32,563x = 68,933 × 68,933
  4. Step 4: Simplify right side
    32,563x = 4,751,758,489
  5. Step 5: Solve for x
    x = 4,751,758,489/32,563
  6. Step 6: Final answer
    x = 145,925.08

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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.