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Finding the Third Proportional to 21,649.50 and 33,841

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Solution

The third proportional to 21,649.50 and 33,841 is: 52,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.50 : 33,841 = 33,841 : x
  2. Step 2: Convert to fraction form
    21,649.50/33,841 = 33,841/x
  3. Step 3: Cross multiply
    21,649.50x = 33,841 × 33,841
  4. Step 4: Simplify right side
    21,649.50x = 1,145,213,281
  5. Step 5: Solve for x
    x = 1,145,213,281/21,649.50
  6. Step 6: Final answer
    x = 52,897.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.