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Finding the Third Proportional to 3,066.75 and 4,712.63

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Solution

The third proportional to 3,066.75 and 4,712.63 is: 7,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.75 : 4,712.63 = 4,712.63 : x
  2. Step 2: Convert to fraction form
    3,066.75/4,712.63 = 4,712.63/x
  3. Step 3: Cross multiply
    3,066.75x = 4,712.63 × 4,712.63
  4. Step 4: Simplify right side
    3,066.75x = 22,208,834.39
  5. Step 5: Solve for x
    x = 22,208,834.39/3,066.75
  6. Step 6: Final answer
    x = 7,241.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.