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Finding the Third Proportional to 32,368.75 and 70,621.75

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Solution

The third proportional to 32,368.75 and 70,621.75 is: 154,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,368.75 : 70,621.75 = 70,621.75 : x
  2. Step 2: Convert to fraction form
    32,368.75/70,621.75 = 70,621.75/x
  3. Step 3: Cross multiply
    32,368.75x = 70,621.75 × 70,621.75
  4. Step 4: Simplify right side
    32,368.75x = 4,987,431,573.06
  5. Step 5: Solve for x
    x = 4,987,431,573.06/32,368.75
  6. Step 6: Final answer
    x = 154,081.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.