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Finding the Third Proportional to 3,406.06 and 7,304.80

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Solution

The third proportional to 3,406.06 and 7,304.80 is: 15,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.06 : 7,304.80 = 7,304.80 : x
  2. Step 2: Convert to fraction form
    3,406.06/7,304.80 = 7,304.80/x
  3. Step 3: Cross multiply
    3,406.06x = 7,304.80 × 7,304.80
  4. Step 4: Simplify right side
    3,406.06x = 53,360,130.50
  5. Step 5: Solve for x
    x = 53,360,130.50/3,406.06
  6. Step 6: Final answer
    x = 15,666.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.