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Finding the Third Proportional to 32,622.75 and 68,541.19

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Solution

The third proportional to 32,622.75 and 68,541.19 is: 144,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622.75 : 68,541.19 = 68,541.19 : x
  2. Step 2: Convert to fraction form
    32,622.75/68,541.19 = 68,541.19/x
  3. Step 3: Cross multiply
    32,622.75x = 68,541.19 × 68,541.19
  4. Step 4: Simplify right side
    32,622.75x = 4,697,894,383.91
  5. Step 5: Solve for x
    x = 4,697,894,383.91/32,622.75
  6. Step 6: Final answer
    x = 144,006.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.