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Finding the Third Proportional to 5,848.48 and 12,682.23

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Solution

The third proportional to 5,848.48 and 12,682.23 is: 27,501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.48 : 12,682.23 = 12,682.23 : x
  2. Step 2: Convert to fraction form
    5,848.48/12,682.23 = 12,682.23/x
  3. Step 3: Cross multiply
    5,848.48x = 12,682.23 × 12,682.23
  4. Step 4: Simplify right side
    5,848.48x = 160,839,081.13
  5. Step 5: Solve for x
    x = 160,839,081.13/5,848.48
  6. Step 6: Final answer
    x = 27,501.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.