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Finding the Third Proportional to 2,848.50 and 4,165.59

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Solution

The third proportional to 2,848.50 and 4,165.59 is: 6,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.50 : 4,165.59 = 4,165.59 : x
  2. Step 2: Convert to fraction form
    2,848.50/4,165.59 = 4,165.59/x
  3. Step 3: Cross multiply
    2,848.50x = 4,165.59 × 4,165.59
  4. Step 4: Simplify right side
    2,848.50x = 17,352,171.29
  5. Step 5: Solve for x
    x = 17,352,171.29/2,848.50
  6. Step 6: Final answer
    x = 6,091.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.