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Finding the Third Proportional to 29,467 and 63,640

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Solution

The third proportional to 29,467 and 63,640 is: 137,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467 : 63,640 = 63,640 : x
  2. Step 2: Convert to fraction form
    29,467/63,640 = 63,640/x
  3. Step 3: Cross multiply
    29,467x = 63,640 × 63,640
  4. Step 4: Simplify right side
    29,467x = 4,050,049,600
  5. Step 5: Solve for x
    x = 4,050,049,600/29,467
  6. Step 6: Final answer
    x = 137,443.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.