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Finding the Third Proportional to 1,765.13 and 4,075.31

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Solution

The third proportional to 1,765.13 and 4,075.31 is: 9,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.13 : 4,075.31 = 4,075.31 : x
  2. Step 2: Convert to fraction form
    1,765.13/4,075.31 = 4,075.31/x
  3. Step 3: Cross multiply
    1,765.13x = 4,075.31 × 4,075.31
  4. Step 4: Simplify right side
    1,765.13x = 16,608,171.97
  5. Step 5: Solve for x
    x = 16,608,171.97/1,765.13
  6. Step 6: Final answer
    x = 9,409.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.