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Finding the Third Proportional to 3,470.34 and 7,343.16

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Solution

The third proportional to 3,470.34 and 7,343.16 is: 15,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.34 : 7,343.16 = 7,343.16 : x
  2. Step 2: Convert to fraction form
    3,470.34/7,343.16 = 7,343.16/x
  3. Step 3: Cross multiply
    3,470.34x = 7,343.16 × 7,343.16
  4. Step 4: Simplify right side
    3,470.34x = 53,921,943.71
  5. Step 5: Solve for x
    x = 53,921,943.71/3,470.34
  6. Step 6: Final answer
    x = 15,537.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.