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Finding the Third Proportional to 30,993 and 67,136.25

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Solution

The third proportional to 30,993 and 67,136.25 is: 145,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993 : 67,136.25 = 67,136.25 : x
  2. Step 2: Convert to fraction form
    30,993/67,136.25 = 67,136.25/x
  3. Step 3: Cross multiply
    30,993x = 67,136.25 × 67,136.25
  4. Step 4: Simplify right side
    30,993x = 4,507,276,064.06
  5. Step 5: Solve for x
    x = 4,507,276,064.06/30,993
  6. Step 6: Final answer
    x = 145,428.84

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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.