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Finding the Third Proportional to 2,867.06 and 4,649.91

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Solution

The third proportional to 2,867.06 and 4,649.91 is: 7,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.06 : 4,649.91 = 4,649.91 : x
  2. Step 2: Convert to fraction form
    2,867.06/4,649.91 = 4,649.91/x
  3. Step 3: Cross multiply
    2,867.06x = 4,649.91 × 4,649.91
  4. Step 4: Simplify right side
    2,867.06x = 21,621,628.13
  5. Step 5: Solve for x
    x = 21,621,628.13/2,867.06
  6. Step 6: Final answer
    x = 7,541.39

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.