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Finding the Third Proportional to 2,089.97 and 4,506.47

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Solution

The third proportional to 2,089.97 and 4,506.47 is: 9,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.97 : 4,506.47 = 4,506.47 : x
  2. Step 2: Convert to fraction form
    2,089.97/4,506.47 = 4,506.47/x
  3. Step 3: Cross multiply
    2,089.97x = 4,506.47 × 4,506.47
  4. Step 4: Simplify right side
    2,089.97x = 20,308,260.59
  5. Step 5: Solve for x
    x = 20,308,260.59/2,089.97
  6. Step 6: Final answer
    x = 9,717.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.