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Finding the Third Proportional to 3,308.98 and 4,637.88

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Solution

The third proportional to 3,308.98 and 4,637.88 is: 6,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.98 : 4,637.88 = 4,637.88 : x
  2. Step 2: Convert to fraction form
    3,308.98/4,637.88 = 4,637.88/x
  3. Step 3: Cross multiply
    3,308.98x = 4,637.88 × 4,637.88
  4. Step 4: Simplify right side
    3,308.98x = 21,509,956.98
  5. Step 5: Solve for x
    x = 21,509,956.98/3,308.98
  6. Step 6: Final answer
    x = 6,500.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.