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Finding the Third Proportional to 35,472.94 and 73,950.47

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Solution

The third proportional to 35,472.94 and 73,950.47 is: 154,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472.94 : 73,950.47 = 73,950.47 : x
  2. Step 2: Convert to fraction form
    35,472.94/73,950.47 = 73,950.47/x
  3. Step 3: Cross multiply
    35,472.94x = 73,950.47 × 73,950.47
  4. Step 4: Simplify right side
    35,472.94x = 5,468,671,828.34
  5. Step 5: Solve for x
    x = 5,468,671,828.34/35,472.94
  6. Step 6: Final answer
    x = 154,164.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.