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Finding the Third Proportional to 29,282 and 70,774

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Solution

The third proportional to 29,282 and 70,774 is: 171,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,282 : 70,774 = 70,774 : x
  2. Step 2: Convert to fraction form
    29,282/70,774 = 70,774/x
  3. Step 3: Cross multiply
    29,282x = 70,774 × 70,774
  4. Step 4: Simplify right side
    29,282x = 5,008,959,076
  5. Step 5: Solve for x
    x = 5,008,959,076/29,282
  6. Step 6: Final answer
    x = 171,059.32

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.