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Finding the Third Proportional to 2,954.81 and 6,386.06

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Solution

The third proportional to 2,954.81 and 6,386.06 is: 13,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.81 : 6,386.06 = 6,386.06 : x
  2. Step 2: Convert to fraction form
    2,954.81/6,386.06 = 6,386.06/x
  3. Step 3: Cross multiply
    2,954.81x = 6,386.06 × 6,386.06
  4. Step 4: Simplify right side
    2,954.81x = 40,781,794.25
  5. Step 5: Solve for x
    x = 40,781,794.25/2,954.81
  6. Step 6: Final answer
    x = 13,801.82

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