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Finding the Third Proportional to 3,323.60 and 5,145.68

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Solution

The third proportional to 3,323.60 and 5,145.68 is: 7,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.60 : 5,145.68 = 5,145.68 : x
  2. Step 2: Convert to fraction form
    3,323.60/5,145.68 = 5,145.68/x
  3. Step 3: Cross multiply
    3,323.60x = 5,145.68 × 5,145.68
  4. Step 4: Simplify right side
    3,323.60x = 26,478,019.45
  5. Step 5: Solve for x
    x = 26,478,019.45/3,323.60
  6. Step 6: Final answer
    x = 7,966.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.