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Finding the Third Proportional to 11,124.84 and 11,937.38

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Solution

The third proportional to 11,124.84 and 11,937.38 is: 12,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.84 : 11,937.38 = 11,937.38 : x
  2. Step 2: Convert to fraction form
    11,124.84/11,937.38 = 11,937.38/x
  3. Step 3: Cross multiply
    11,124.84x = 11,937.38 × 11,937.38
  4. Step 4: Simplify right side
    11,124.84x = 142,500,921.89
  5. Step 5: Solve for x
    x = 142,500,921.89/11,124.84
  6. Step 6: Final answer
    x = 12,809.25

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.