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Finding the Third Proportional to 1,769.81 and 3,750.38

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Solution

The third proportional to 1,769.81 and 3,750.38 is: 7,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.81 : 3,750.38 = 3,750.38 : x
  2. Step 2: Convert to fraction form
    1,769.81/3,750.38 = 3,750.38/x
  3. Step 3: Cross multiply
    1,769.81x = 3,750.38 × 3,750.38
  4. Step 4: Simplify right side
    1,769.81x = 14,065,312.64
  5. Step 5: Solve for x
    x = 14,065,312.64/1,769.81
  6. Step 6: Final answer
    x = 7,947.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.