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Finding the Third Proportional to 3,465.60 and 7,161.86

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Solution

The third proportional to 3,465.60 and 7,161.86 is: 14,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.60 : 7,161.86 = 7,161.86 : x
  2. Step 2: Convert to fraction form
    3,465.60/7,161.86 = 7,161.86/x
  3. Step 3: Cross multiply
    3,465.60x = 7,161.86 × 7,161.86
  4. Step 4: Simplify right side
    3,465.60x = 51,292,173.76
  5. Step 5: Solve for x
    x = 51,292,173.76/3,465.60
  6. Step 6: Final answer
    x = 14,800.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.