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Finding the Third Proportional to 1,765.69 and 1,887.19

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Solution

The third proportional to 1,765.69 and 1,887.19 is: 2,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.69 : 1,887.19 = 1,887.19 : x
  2. Step 2: Convert to fraction form
    1,765.69/1,887.19 = 1,887.19/x
  3. Step 3: Cross multiply
    1,765.69x = 1,887.19 × 1,887.19
  4. Step 4: Simplify right side
    1,765.69x = 3,561,476.66
  5. Step 5: Solve for x
    x = 3,561,476.66/1,765.69
  6. Step 6: Final answer
    x = 2,017.05

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.