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Finding the Third Proportional to 43,665.19 and 67,631.63

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Solution

The third proportional to 43,665.19 and 67,631.63 is: 104,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,665.19 : 67,631.63 = 67,631.63 : x
  2. Step 2: Convert to fraction form
    43,665.19/67,631.63 = 67,631.63/x
  3. Step 3: Cross multiply
    43,665.19x = 67,631.63 × 67,631.63
  4. Step 4: Simplify right side
    43,665.19x = 4,574,036,700.14
  5. Step 5: Solve for x
    x = 4,574,036,700.14/43,665.19
  6. Step 6: Final answer
    x = 104,752.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.