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Finding the Third Proportional to 9,136.13 and 20,635.17

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Solution

The third proportional to 9,136.13 and 20,635.17 is: 46,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.13 : 20,635.17 = 20,635.17 : x
  2. Step 2: Convert to fraction form
    9,136.13/20,635.17 = 20,635.17/x
  3. Step 3: Cross multiply
    9,136.13x = 20,635.17 × 20,635.17
  4. Step 4: Simplify right side
    9,136.13x = 425,810,318.31
  5. Step 5: Solve for x
    x = 425,810,318.31/9,136.13
  6. Step 6: Final answer
    x = 46,607.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.