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Finding the Third Proportional to 20,413 and 44,841

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Solution

The third proportional to 20,413 and 44,841 is: 98,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413 : 44,841 = 44,841 : x
  2. Step 2: Convert to fraction form
    20,413/44,841 = 44,841/x
  3. Step 3: Cross multiply
    20,413x = 44,841 × 44,841
  4. Step 4: Simplify right side
    20,413x = 2,010,715,281
  5. Step 5: Solve for x
    x = 2,010,715,281/20,413
  6. Step 6: Final answer
    x = 98,501.70

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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.