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Finding the Third Proportional to 3,836.74 and 7,088.77

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Solution

The third proportional to 3,836.74 and 7,088.77 is: 13,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.74 : 7,088.77 = 7,088.77 : x
  2. Step 2: Convert to fraction form
    3,836.74/7,088.77 = 7,088.77/x
  3. Step 3: Cross multiply
    3,836.74x = 7,088.77 × 7,088.77
  4. Step 4: Simplify right side
    3,836.74x = 50,250,598.09
  5. Step 5: Solve for x
    x = 50,250,598.09/3,836.74
  6. Step 6: Final answer
    x = 13,097.20

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.