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Finding the Third Proportional to 15,501 and 33,483

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Solution

The third proportional to 15,501 and 33,483 is: 72,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,501 : 33,483 = 33,483 : x
  2. Step 2: Convert to fraction form
    15,501/33,483 = 33,483/x
  3. Step 3: Cross multiply
    15,501x = 33,483 × 33,483
  4. Step 4: Simplify right side
    15,501x = 1,121,111,289
  5. Step 5: Solve for x
    x = 1,121,111,289/15,501
  6. Step 6: Final answer
    x = 72,325.09

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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.