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Finding the Third Proportional to 4,066.88 and 7,448.63

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Solution

The third proportional to 4,066.88 and 7,448.63 is: 13,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.88 : 7,448.63 = 7,448.63 : x
  2. Step 2: Convert to fraction form
    4,066.88/7,448.63 = 7,448.63/x
  3. Step 3: Cross multiply
    4,066.88x = 7,448.63 × 7,448.63
  4. Step 4: Simplify right side
    4,066.88x = 55,482,014.39
  5. Step 5: Solve for x
    x = 55,482,014.39/4,066.88
  6. Step 6: Final answer
    x = 13,642.42

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.