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Finding the Third Proportional to 21,724 and 36,035

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Solution

The third proportional to 21,724 and 36,035 is: 59,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724 : 36,035 = 36,035 : x
  2. Step 2: Convert to fraction form
    21,724/36,035 = 36,035/x
  3. Step 3: Cross multiply
    21,724x = 36,035 × 36,035
  4. Step 4: Simplify right side
    21,724x = 1,298,521,225
  5. Step 5: Solve for x
    x = 1,298,521,225/21,724
  6. Step 6: Final answer
    x = 59,773.58

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.