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Finding the Third Proportional to 22,130.50 and 33,841

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Solution

The third proportional to 22,130.50 and 33,841 is: 51,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130.50 : 33,841 = 33,841 : x
  2. Step 2: Convert to fraction form
    22,130.50/33,841 = 33,841/x
  3. Step 3: Cross multiply
    22,130.50x = 33,841 × 33,841
  4. Step 4: Simplify right side
    22,130.50x = 1,145,213,281
  5. Step 5: Solve for x
    x = 1,145,213,281/22,130.50
  6. Step 6: Final answer
    x = 51,748.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.