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Finding the Third Proportional to 3,420.56 and 9,212.06

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Solution

The third proportional to 3,420.56 and 9,212.06 is: 24,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.56 : 9,212.06 = 9,212.06 : x
  2. Step 2: Convert to fraction form
    3,420.56/9,212.06 = 9,212.06/x
  3. Step 3: Cross multiply
    3,420.56x = 9,212.06 × 9,212.06
  4. Step 4: Simplify right side
    3,420.56x = 84,862,095.50
  5. Step 5: Solve for x
    x = 84,862,095.50/3,420.56
  6. Step 6: Final answer
    x = 24,809.40

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.