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Finding the Third Proportional to 5,937.75 and 10,136.25

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Solution

The third proportional to 5,937.75 and 10,136.25 is: 17,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.75 : 10,136.25 = 10,136.25 : x
  2. Step 2: Convert to fraction form
    5,937.75/10,136.25 = 10,136.25/x
  3. Step 3: Cross multiply
    5,937.75x = 10,136.25 × 10,136.25
  4. Step 4: Simplify right side
    5,937.75x = 102,743,564.06
  5. Step 5: Solve for x
    x = 102,743,564.06/5,937.75
  6. Step 6: Final answer
    x = 17,303.45

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.