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Finding the Third Proportional to 2,848.75 and 4,171.88

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Solution

The third proportional to 2,848.75 and 4,171.88 is: 6,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.75 : 4,171.88 = 4,171.88 : x
  2. Step 2: Convert to fraction form
    2,848.75/4,171.88 = 4,171.88/x
  3. Step 3: Cross multiply
    2,848.75x = 4,171.88 × 4,171.88
  4. Step 4: Simplify right side
    2,848.75x = 17,404,541.02
  5. Step 5: Solve for x
    x = 17,404,541.02/2,848.75
  6. Step 6: Final answer
    x = 6,109.54

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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.