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Finding the Third Proportional to 4,075.13 and 6,111.56

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Solution

The third proportional to 4,075.13 and 6,111.56 is: 9,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.13 : 6,111.56 = 6,111.56 : x
  2. Step 2: Convert to fraction form
    4,075.13/6,111.56 = 6,111.56/x
  3. Step 3: Cross multiply
    4,075.13x = 6,111.56 × 6,111.56
  4. Step 4: Simplify right side
    4,075.13x = 37,351,196.19
  5. Step 5: Solve for x
    x = 37,351,196.19/4,075.13
  6. Step 6: Final answer
    x = 9,165.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.