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Finding the Third Proportional to 1,765.31 and 3,869.81

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Solution

The third proportional to 1,765.31 and 3,869.81 is: 8,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.31 : 3,869.81 = 3,869.81 : x
  2. Step 2: Convert to fraction form
    1,765.31/3,869.81 = 3,869.81/x
  3. Step 3: Cross multiply
    1,765.31x = 3,869.81 × 3,869.81
  4. Step 4: Simplify right side
    1,765.31x = 14,975,448.79
  5. Step 5: Solve for x
    x = 14,975,448.79/1,765.31
  6. Step 6: Final answer
    x = 8,483.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.