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Finding the Third Proportional to 32,367.94 and 69,233.06

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Solution

The third proportional to 32,367.94 and 69,233.06 is: 148,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,367.94 : 69,233.06 = 69,233.06 : x
  2. Step 2: Convert to fraction form
    32,367.94/69,233.06 = 69,233.06/x
  3. Step 3: Cross multiply
    32,367.94x = 69,233.06 × 69,233.06
  4. Step 4: Simplify right side
    32,367.94x = 4,793,216,943.13
  5. Step 5: Solve for x
    x = 4,793,216,943.13/32,367.94
  6. Step 6: Final answer
    x = 148,085.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.