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Finding the Third Proportional to 4,746.09 and 9,489.66

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Solution

The third proportional to 4,746.09 and 9,489.66 is: 18,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.09 : 9,489.66 = 9,489.66 : x
  2. Step 2: Convert to fraction form
    4,746.09/9,489.66 = 9,489.66/x
  3. Step 3: Cross multiply
    4,746.09x = 9,489.66 × 9,489.66
  4. Step 4: Simplify right side
    4,746.09x = 90,053,575.74
  5. Step 5: Solve for x
    x = 90,053,575.74/4,746.09
  6. Step 6: Final answer
    x = 18,974.25

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.