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Finding the Third Proportional to 1,677.03 and 3,630.29

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Solution

The third proportional to 1,677.03 and 3,630.29 is: 7,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.03 : 3,630.29 = 3,630.29 : x
  2. Step 2: Convert to fraction form
    1,677.03/3,630.29 = 3,630.29/x
  3. Step 3: Cross multiply
    1,677.03x = 3,630.29 × 3,630.29
  4. Step 4: Simplify right side
    1,677.03x = 13,178,984.50
  5. Step 5: Solve for x
    x = 13,178,984.50/1,677.03
  6. Step 6: Final answer
    x = 7,858.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.