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Finding the Third Proportional to 20,335 and 37,295

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Solution

The third proportional to 20,335 and 37,295 is: 68,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335 : 37,295 = 37,295 : x
  2. Step 2: Convert to fraction form
    20,335/37,295 = 37,295/x
  3. Step 3: Cross multiply
    20,335x = 37,295 × 37,295
  4. Step 4: Simplify right side
    20,335x = 1,390,917,025
  5. Step 5: Solve for x
    x = 1,390,917,025/20,335
  6. Step 6: Final answer
    x = 68,400.15

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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.