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Finding the Third Proportional to 11,763.87 and 17,671.93

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Solution

The third proportional to 11,763.87 and 17,671.93 is: 26,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.87 : 17,671.93 = 17,671.93 : x
  2. Step 2: Convert to fraction form
    11,763.87/17,671.93 = 17,671.93/x
  3. Step 3: Cross multiply
    11,763.87x = 17,671.93 × 17,671.93
  4. Step 4: Simplify right side
    11,763.87x = 312,297,172.23
  5. Step 5: Solve for x
    x = 312,297,172.23/11,763.87
  6. Step 6: Final answer
    x = 26,547.15

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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.