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Finding the Third Proportional to 2,470.84 and 3,848.03

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Solution

The third proportional to 2,470.84 and 3,848.03 is: 5,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.84 : 3,848.03 = 3,848.03 : x
  2. Step 2: Convert to fraction form
    2,470.84/3,848.03 = 3,848.03/x
  3. Step 3: Cross multiply
    2,470.84x = 3,848.03 × 3,848.03
  4. Step 4: Simplify right side
    2,470.84x = 14,807,344.50
  5. Step 5: Solve for x
    x = 14,807,344.50/2,470.84
  6. Step 6: Final answer
    x = 5,992.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.