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Finding the Third Proportional to 3,016.13 and 4,636.69

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Solution

The third proportional to 3,016.13 and 4,636.69 is: 7,127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.13 : 4,636.69 = 4,636.69 : x
  2. Step 2: Convert to fraction form
    3,016.13/4,636.69 = 4,636.69/x
  3. Step 3: Cross multiply
    3,016.13x = 4,636.69 × 4,636.69
  4. Step 4: Simplify right side
    3,016.13x = 21,498,870.97
  5. Step 5: Solve for x
    x = 21,498,870.97/3,016.13
  6. Step 6: Final answer
    x = 7,127.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.