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Finding the Third Proportional to 29,851 and 64,633

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Solution

The third proportional to 29,851 and 64,633 is: 139,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851 : 64,633 = 64,633 : x
  2. Step 2: Convert to fraction form
    29,851/64,633 = 64,633/x
  3. Step 3: Cross multiply
    29,851x = 64,633 × 64,633
  4. Step 4: Simplify right side
    29,851x = 4,177,424,689
  5. Step 5: Solve for x
    x = 4,177,424,689/29,851
  6. Step 6: Final answer
    x = 139,942.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.