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Finding the Third Proportional to 32,001.75 and 74,763.75

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Solution

The third proportional to 32,001.75 and 74,763.75 is: 174,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.75 : 74,763.75 = 74,763.75 : x
  2. Step 2: Convert to fraction form
    32,001.75/74,763.75 = 74,763.75/x
  3. Step 3: Cross multiply
    32,001.75x = 74,763.75 × 74,763.75
  4. Step 4: Simplify right side
    32,001.75x = 5,589,618,314.06
  5. Step 5: Solve for x
    x = 5,589,618,314.06/32,001.75
  6. Step 6: Final answer
    x = 174,666.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.