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Finding the Third Proportional to 4,316.07 and 9,539.56

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Solution

The third proportional to 4,316.07 and 9,539.56 is: 21,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.07 : 9,539.56 = 9,539.56 : x
  2. Step 2: Convert to fraction form
    4,316.07/9,539.56 = 9,539.56/x
  3. Step 3: Cross multiply
    4,316.07x = 9,539.56 × 9,539.56
  4. Step 4: Simplify right side
    4,316.07x = 91,003,194.47
  5. Step 5: Solve for x
    x = 91,003,194.47/4,316.07
  6. Step 6: Final answer
    x = 21,084.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.