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Finding the Third Proportional to 3,760.88 and 5,106.94

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Solution

The third proportional to 3,760.88 and 5,106.94 is: 6,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.88 : 5,106.94 = 5,106.94 : x
  2. Step 2: Convert to fraction form
    3,760.88/5,106.94 = 5,106.94/x
  3. Step 3: Cross multiply
    3,760.88x = 5,106.94 × 5,106.94
  4. Step 4: Simplify right side
    3,760.88x = 26,080,810.63
  5. Step 5: Solve for x
    x = 26,080,810.63/3,760.88
  6. Step 6: Final answer
    x = 6,934.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.