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Finding the Third Proportional to 3,463.31 and 7,430.06

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Solution

The third proportional to 3,463.31 and 7,430.06 is: 15,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.31 : 7,430.06 = 7,430.06 : x
  2. Step 2: Convert to fraction form
    3,463.31/7,430.06 = 7,430.06/x
  3. Step 3: Cross multiply
    3,463.31x = 7,430.06 × 7,430.06
  4. Step 4: Simplify right side
    3,463.31x = 55,205,828.75
  5. Step 5: Solve for x
    x = 55,205,828.75/3,463.31
  6. Step 6: Final answer
    x = 15,940.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.