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Finding the Third Proportional to 15,520 and 33,501

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Solution

The third proportional to 15,520 and 33,501 is: 72,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520 : 33,501 = 33,501 : x
  2. Step 2: Convert to fraction form
    15,520/33,501 = 33,501/x
  3. Step 3: Cross multiply
    15,520x = 33,501 × 33,501
  4. Step 4: Simplify right side
    15,520x = 1,122,317,001
  5. Step 5: Solve for x
    x = 1,122,317,001/15,520
  6. Step 6: Final answer
    x = 72,314.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.