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Finding the Third Proportional to 32,292.63 and 68,429.18

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Solution

The third proportional to 32,292.63 and 68,429.18 is: 145,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292.63 : 68,429.18 = 68,429.18 : x
  2. Step 2: Convert to fraction form
    32,292.63/68,429.18 = 68,429.18/x
  3. Step 3: Cross multiply
    32,292.63x = 68,429.18 × 68,429.18
  4. Step 4: Simplify right side
    32,292.63x = 4,682,552,632.70
  5. Step 5: Solve for x
    x = 4,682,552,632.70/32,292.63
  6. Step 6: Final answer
    x = 145,003.74

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.