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Finding the Third Proportional to 33,503 and 45,501

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Solution

The third proportional to 33,503 and 45,501 is: 61,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,503 : 45,501 = 45,501 : x
  2. Step 2: Convert to fraction form
    33,503/45,501 = 45,501/x
  3. Step 3: Cross multiply
    33,503x = 45,501 × 45,501
  4. Step 4: Simplify right side
    33,503x = 2,070,341,001
  5. Step 5: Solve for x
    x = 2,070,341,001/33,503
  6. Step 6: Final answer
    x = 61,795.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.