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Finding the Third Proportional to 20,484 and 32,841

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Solution

The third proportional to 20,484 and 32,841 is: 52,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484 : 32,841 = 32,841 : x
  2. Step 2: Convert to fraction form
    20,484/32,841 = 32,841/x
  3. Step 3: Cross multiply
    20,484x = 32,841 × 32,841
  4. Step 4: Simplify right side
    20,484x = 1,078,531,281
  5. Step 5: Solve for x
    x = 1,078,531,281/20,484
  6. Step 6: Final answer
    x = 52,652.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.