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Finding the Third Proportional to 29,605 and 64,556

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Solution

The third proportional to 29,605 and 64,556 is: 140,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605 : 64,556 = 64,556 : x
  2. Step 2: Convert to fraction form
    29,605/64,556 = 64,556/x
  3. Step 3: Cross multiply
    29,605x = 64,556 × 64,556
  4. Step 4: Simplify right side
    29,605x = 4,167,477,136
  5. Step 5: Solve for x
    x = 4,167,477,136/29,605
  6. Step 6: Final answer
    x = 140,769.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.