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Finding the Third Proportional to 9,136.13 and 19,980.84

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Solution

The third proportional to 9,136.13 and 19,980.84 is: 43,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.13 : 19,980.84 = 19,980.84 : x
  2. Step 2: Convert to fraction form
    9,136.13/19,980.84 = 19,980.84/x
  3. Step 3: Cross multiply
    9,136.13x = 19,980.84 × 19,980.84
  4. Step 4: Simplify right side
    9,136.13x = 399,234,116.96
  5. Step 5: Solve for x
    x = 399,234,116.96/9,136.13
  6. Step 6: Final answer
    x = 43,698.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.