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Finding the Third Proportional to 32,030.44 and 68,184.28

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Solution

The third proportional to 32,030.44 and 68,184.28 is: 145,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.44 : 68,184.28 = 68,184.28 : x
  2. Step 2: Convert to fraction form
    32,030.44/68,184.28 = 68,184.28/x
  3. Step 3: Cross multiply
    32,030.44x = 68,184.28 × 68,184.28
  4. Step 4: Simplify right side
    32,030.44x = 4,649,096,209.58
  5. Step 5: Solve for x
    x = 4,649,096,209.58/32,030.44
  6. Step 6: Final answer
    x = 145,146.20

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.