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Finding the Third Proportional to 32,351.06 and 69,894.56

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Solution

The third proportional to 32,351.06 and 69,894.56 is: 151,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.06 : 69,894.56 = 69,894.56 : x
  2. Step 2: Convert to fraction form
    32,351.06/69,894.56 = 69,894.56/x
  3. Step 3: Cross multiply
    32,351.06x = 69,894.56 × 69,894.56
  4. Step 4: Simplify right side
    32,351.06x = 4,885,249,867.07
  5. Step 5: Solve for x
    x = 4,885,249,867.07/32,351.06
  6. Step 6: Final answer
    x = 151,007.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.