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Finding the Third Proportional to 2,084.48 and 4,539.16

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Solution

The third proportional to 2,084.48 and 4,539.16 is: 9,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.48 : 4,539.16 = 4,539.16 : x
  2. Step 2: Convert to fraction form
    2,084.48/4,539.16 = 4,539.16/x
  3. Step 3: Cross multiply
    2,084.48x = 4,539.16 × 4,539.16
  4. Step 4: Simplify right side
    2,084.48x = 20,604,010.39
  5. Step 5: Solve for x
    x = 20,604,010.39/2,084.48
  6. Step 6: Final answer
    x = 9,884.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.