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Finding the Third Proportional to 3,026.81 and 4,559.06

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Solution

The third proportional to 3,026.81 and 4,559.06 is: 6,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.81 : 4,559.06 = 4,559.06 : x
  2. Step 2: Convert to fraction form
    3,026.81/4,559.06 = 4,559.06/x
  3. Step 3: Cross multiply
    3,026.81x = 4,559.06 × 4,559.06
  4. Step 4: Simplify right side
    3,026.81x = 20,785,050.88
  5. Step 5: Solve for x
    x = 20,785,050.88/3,026.81
  6. Step 6: Final answer
    x = 6,866.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.