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Finding the Third Proportional to 7,075.69 and 14,617.13

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Solution

The third proportional to 7,075.69 and 14,617.13 is: 30,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.69 : 14,617.13 = 14,617.13 : x
  2. Step 2: Convert to fraction form
    7,075.69/14,617.13 = 14,617.13/x
  3. Step 3: Cross multiply
    7,075.69x = 14,617.13 × 14,617.13
  4. Step 4: Simplify right side
    7,075.69x = 213,660,343.27
  5. Step 5: Solve for x
    x = 213,660,343.27/7,075.69
  6. Step 6: Final answer
    x = 30,196.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.