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Finding the Third Proportional to 32,007.66 and 69,927.05

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Solution

The third proportional to 32,007.66 and 69,927.05 is: 152,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.66 : 69,927.05 = 69,927.05 : x
  2. Step 2: Convert to fraction form
    32,007.66/69,927.05 = 69,927.05/x
  3. Step 3: Cross multiply
    32,007.66x = 69,927.05 × 69,927.05
  4. Step 4: Simplify right side
    32,007.66x = 4,889,791,884.66
  5. Step 5: Solve for x
    x = 4,889,791,884.66/32,007.66
  6. Step 6: Final answer
    x = 152,769.45

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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.