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Finding the Third Proportional to 3,345.05 and 3,903.19

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Solution

The third proportional to 3,345.05 and 3,903.19 is: 4,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.05 : 3,903.19 = 3,903.19 : x
  2. Step 2: Convert to fraction form
    3,345.05/3,903.19 = 3,903.19/x
  3. Step 3: Cross multiply
    3,345.05x = 3,903.19 × 3,903.19
  4. Step 4: Simplify right side
    3,345.05x = 15,234,872.66
  5. Step 5: Solve for x
    x = 15,234,872.66/3,345.05
  6. Step 6: Final answer
    x = 4,554.46

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.