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Finding the Third Proportional to 5,330.81 and 10,185.75

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Solution

The third proportional to 5,330.81 and 10,185.75 is: 19,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.81 : 10,185.75 = 10,185.75 : x
  2. Step 2: Convert to fraction form
    5,330.81/10,185.75 = 10,185.75/x
  3. Step 3: Cross multiply
    5,330.81x = 10,185.75 × 10,185.75
  4. Step 4: Simplify right side
    5,330.81x = 103,749,503.06
  5. Step 5: Solve for x
    x = 103,749,503.06/5,330.81
  6. Step 6: Final answer
    x = 19,462.23

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.