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Finding the Third Proportional to 5,080.22 and 9,317.53

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Solution

The third proportional to 5,080.22 and 9,317.53 is: 17,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080.22 : 9,317.53 = 9,317.53 : x
  2. Step 2: Convert to fraction form
    5,080.22/9,317.53 = 9,317.53/x
  3. Step 3: Cross multiply
    5,080.22x = 9,317.53 × 9,317.53
  4. Step 4: Simplify right side
    5,080.22x = 86,816,388.59
  5. Step 5: Solve for x
    x = 86,816,388.59/5,080.22
  6. Step 6: Final answer
    x = 17,089.10

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.