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Finding the Third Proportional to 29,774 and 63,865

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Solution

The third proportional to 29,774 and 63,865 is: 136,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774 : 63,865 = 63,865 : x
  2. Step 2: Convert to fraction form
    29,774/63,865 = 63,865/x
  3. Step 3: Cross multiply
    29,774x = 63,865 × 63,865
  4. Step 4: Simplify right side
    29,774x = 4,078,738,225
  5. Step 5: Solve for x
    x = 4,078,738,225/29,774
  6. Step 6: Final answer
    x = 136,989.93

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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.