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Finding the Third Proportional to 29,142.28 and 62,283.94

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Solution

The third proportional to 29,142.28 and 62,283.94 is: 133,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.28 : 62,283.94 = 62,283.94 : x
  2. Step 2: Convert to fraction form
    29,142.28/62,283.94 = 62,283.94/x
  3. Step 3: Cross multiply
    29,142.28x = 62,283.94 × 62,283.94
  4. Step 4: Simplify right side
    29,142.28x = 3,879,288,870.50
  5. Step 5: Solve for x
    x = 3,879,288,870.50/29,142.28
  6. Step 6: Final answer
    x = 133,115.48

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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.