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Finding the Third Proportional to 5,848 and 13,681

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Solution

The third proportional to 5,848 and 13,681 is: 32,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848 : 13,681 = 13,681 : x
  2. Step 2: Convert to fraction form
    5,848/13,681 = 13,681/x
  3. Step 3: Cross multiply
    5,848x = 13,681 × 13,681
  4. Step 4: Simplify right side
    5,848x = 187,169,761
  5. Step 5: Solve for x
    x = 187,169,761/5,848
  6. Step 6: Final answer
    x = 32,005.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.