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Finding the Third Proportional to 32,011.88 and 68,762.25

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Solution

The third proportional to 32,011.88 and 68,762.25 is: 147,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.88 : 68,762.25 = 68,762.25 : x
  2. Step 2: Convert to fraction form
    32,011.88/68,762.25 = 68,762.25/x
  3. Step 3: Cross multiply
    32,011.88x = 68,762.25 × 68,762.25
  4. Step 4: Simplify right side
    32,011.88x = 4,728,247,025.06
  5. Step 5: Solve for x
    x = 4,728,247,025.06/32,011.88
  6. Step 6: Final answer
    x = 147,702.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.