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Finding the Third Proportional to 20,501 and 45,014

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Solution

The third proportional to 20,501 and 45,014 is: 98,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501 : 45,014 = 45,014 : x
  2. Step 2: Convert to fraction form
    20,501/45,014 = 45,014/x
  3. Step 3: Cross multiply
    20,501x = 45,014 × 45,014
  4. Step 4: Simplify right side
    20,501x = 2,026,260,196
  5. Step 5: Solve for x
    x = 2,026,260,196/20,501
  6. Step 6: Final answer
    x = 98,837.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.