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Finding the Third Proportional to 32,980.50 and 67,127.48

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Solution

The third proportional to 32,980.50 and 67,127.48 is: 136,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.50 : 67,127.48 = 67,127.48 : x
  2. Step 2: Convert to fraction form
    32,980.50/67,127.48 = 67,127.48/x
  3. Step 3: Cross multiply
    32,980.50x = 67,127.48 × 67,127.48
  4. Step 4: Simplify right side
    32,980.50x = 4,506,099,158.52
  5. Step 5: Solve for x
    x = 4,506,099,158.52/32,980.50
  6. Step 6: Final answer
    x = 136,629.19

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.