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Finding the Third Proportional to 1,670.75 and 3,654.88

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Solution

The third proportional to 1,670.75 and 3,654.88 is: 7,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.75 : 3,654.88 = 3,654.88 : x
  2. Step 2: Convert to fraction form
    1,670.75/3,654.88 = 3,654.88/x
  3. Step 3: Cross multiply
    1,670.75x = 3,654.88 × 3,654.88
  4. Step 4: Simplify right side
    1,670.75x = 13,358,111.27
  5. Step 5: Solve for x
    x = 13,358,111.27/1,670.75
  6. Step 6: Final answer
    x = 7,995.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.