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Finding the Third Proportional to 3,075.47 and 6,535.37

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Solution

The third proportional to 3,075.47 and 6,535.37 is: 13,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.47 : 6,535.37 = 6,535.37 : x
  2. Step 2: Convert to fraction form
    3,075.47/6,535.37 = 6,535.37/x
  3. Step 3: Cross multiply
    3,075.47x = 6,535.37 × 6,535.37
  4. Step 4: Simplify right side
    3,075.47x = 42,711,075.33
  5. Step 5: Solve for x
    x = 42,711,075.33/3,075.47
  6. Step 6: Final answer
    x = 13,887.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.