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Finding the Third Proportional to 29,484 and 65,556

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Solution

The third proportional to 29,484 and 65,556 is: 145,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484 : 65,556 = 65,556 : x
  2. Step 2: Convert to fraction form
    29,484/65,556 = 65,556/x
  3. Step 3: Cross multiply
    29,484x = 65,556 × 65,556
  4. Step 4: Simplify right side
    29,484x = 4,297,589,136
  5. Step 5: Solve for x
    x = 4,297,589,136/29,484
  6. Step 6: Final answer
    x = 145,760.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.