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Finding the Third Proportional to 1,943.05 and 3,681.07

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Solution

The third proportional to 1,943.05 and 3,681.07 is: 6,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.05 : 3,681.07 = 3,681.07 : x
  2. Step 2: Convert to fraction form
    1,943.05/3,681.07 = 3,681.07/x
  3. Step 3: Cross multiply
    1,943.05x = 3,681.07 × 3,681.07
  4. Step 4: Simplify right side
    1,943.05x = 13,550,278.65
  5. Step 5: Solve for x
    x = 13,550,278.65/1,943.05
  6. Step 6: Final answer
    x = 6,973.71

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.