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Finding the Third Proportional to 5,772.09 and 12,465.14

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Solution

The third proportional to 5,772.09 and 12,465.14 is: 26,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.09 : 12,465.14 = 12,465.14 : x
  2. Step 2: Convert to fraction form
    5,772.09/12,465.14 = 12,465.14/x
  3. Step 3: Cross multiply
    5,772.09x = 12,465.14 × 12,465.14
  4. Step 4: Simplify right side
    5,772.09x = 155,379,730.80
  5. Step 5: Solve for x
    x = 155,379,730.80/5,772.09
  6. Step 6: Final answer
    x = 26,919.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.