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Finding the Third Proportional to 33,420.09 and 71,487.56

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Solution

The third proportional to 33,420.09 and 71,487.56 is: 152,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420.09 : 71,487.56 = 71,487.56 : x
  2. Step 2: Convert to fraction form
    33,420.09/71,487.56 = 71,487.56/x
  3. Step 3: Cross multiply
    33,420.09x = 71,487.56 × 71,487.56
  4. Step 4: Simplify right side
    33,420.09x = 5,110,471,592.19
  5. Step 5: Solve for x
    x = 5,110,471,592.19/33,420.09
  6. Step 6: Final answer
    x = 152,916.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.