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Finding the Third Proportional to 5,107.22 and 12,075.47

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Solution

The third proportional to 5,107.22 and 12,075.47 is: 28,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.22 : 12,075.47 = 12,075.47 : x
  2. Step 2: Convert to fraction form
    5,107.22/12,075.47 = 12,075.47/x
  3. Step 3: Cross multiply
    5,107.22x = 12,075.47 × 12,075.47
  4. Step 4: Simplify right side
    5,107.22x = 145,816,945.53
  5. Step 5: Solve for x
    x = 145,816,945.53/5,107.22
  6. Step 6: Final answer
    x = 28,551.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.