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Finding the Third Proportional to 29,036 and 42,434

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Solution

The third proportional to 29,036 and 42,434 is: 62,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,036 : 42,434 = 42,434 : x
  2. Step 2: Convert to fraction form
    29,036/42,434 = 42,434/x
  3. Step 3: Cross multiply
    29,036x = 42,434 × 42,434
  4. Step 4: Simplify right side
    29,036x = 1,800,644,356
  5. Step 5: Solve for x
    x = 1,800,644,356/29,036
  6. Step 6: Final answer
    x = 62,014.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.