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Finding the Third Proportional to 29,677 and 70,056

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Solution

The third proportional to 29,677 and 70,056 is: 165,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677 : 70,056 = 70,056 : x
  2. Step 2: Convert to fraction form
    29,677/70,056 = 70,056/x
  3. Step 3: Cross multiply
    29,677x = 70,056 × 70,056
  4. Step 4: Simplify right side
    29,677x = 4,907,843,136
  5. Step 5: Solve for x
    x = 4,907,843,136/29,677
  6. Step 6: Final answer
    x = 165,375.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.