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Finding the Third Proportional to 4,095.09 and 6,136.13

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Solution

The third proportional to 4,095.09 and 6,136.13 is: 9,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.09 : 6,136.13 = 6,136.13 : x
  2. Step 2: Convert to fraction form
    4,095.09/6,136.13 = 6,136.13/x
  3. Step 3: Cross multiply
    4,095.09x = 6,136.13 × 6,136.13
  4. Step 4: Simplify right side
    4,095.09x = 37,652,030.02
  5. Step 5: Solve for x
    x = 37,652,030.02/4,095.09
  6. Step 6: Final answer
    x = 9,194.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.