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Finding the Third Proportional to 34,221 and 51,192.25

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Solution

The third proportional to 34,221 and 51,192.25 is: 76,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,221 : 51,192.25 = 51,192.25 : x
  2. Step 2: Convert to fraction form
    34,221/51,192.25 = 51,192.25/x
  3. Step 3: Cross multiply
    34,221x = 51,192.25 × 51,192.25
  4. Step 4: Simplify right side
    34,221x = 2,620,646,460.06
  5. Step 5: Solve for x
    x = 2,620,646,460.06/34,221
  6. Step 6: Final answer
    x = 76,580.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.