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Finding the Third Proportional to 20,339 and 37,303

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Solution

The third proportional to 20,339 and 37,303 is: 68,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,339 : 37,303 = 37,303 : x
  2. Step 2: Convert to fraction form
    20,339/37,303 = 37,303/x
  3. Step 3: Cross multiply
    20,339x = 37,303 × 37,303
  4. Step 4: Simplify right side
    20,339x = 1,391,513,809
  5. Step 5: Solve for x
    x = 1,391,513,809/20,339
  6. Step 6: Final answer
    x = 68,416.04

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.