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Finding the Third Proportional to 29,882.25 and 40,602.94

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Solution

The third proportional to 29,882.25 and 40,602.94 is: 55,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.25 : 40,602.94 = 40,602.94 : x
  2. Step 2: Convert to fraction form
    29,882.25/40,602.94 = 40,602.94/x
  3. Step 3: Cross multiply
    29,882.25x = 40,602.94 × 40,602.94
  4. Step 4: Simplify right side
    29,882.25x = 1,648,598,533.63
  5. Step 5: Solve for x
    x = 1,648,598,533.63/29,882.25
  6. Step 6: Final answer
    x = 55,169.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.