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Finding the Third Proportional to 15,650 and 33,972

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Solution

The third proportional to 15,650 and 33,972 is: 73,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,650 : 33,972 = 33,972 : x
  2. Step 2: Convert to fraction form
    15,650/33,972 = 33,972/x
  3. Step 3: Cross multiply
    15,650x = 33,972 × 33,972
  4. Step 4: Simplify right side
    15,650x = 1,154,096,784
  5. Step 5: Solve for x
    x = 1,154,096,784/15,650
  6. Step 6: Final answer
    x = 73,744.20

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Why These Related Problems?

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