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Finding the Third Proportional to 3,386.81 and 7,346.95

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Solution

The third proportional to 3,386.81 and 7,346.95 is: 15,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.81 : 7,346.95 = 7,346.95 : x
  2. Step 2: Convert to fraction form
    3,386.81/7,346.95 = 7,346.95/x
  3. Step 3: Cross multiply
    3,386.81x = 7,346.95 × 7,346.95
  4. Step 4: Simplify right side
    3,386.81x = 53,977,720.22
  5. Step 5: Solve for x
    x = 53,977,720.22/3,386.81
  6. Step 6: Final answer
    x = 15,937.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.