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Finding the Third Proportional to 6,758.44 and 15,784.88

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Solution

The third proportional to 6,758.44 and 15,784.88 is: 36,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.44 : 15,784.88 = 15,784.88 : x
  2. Step 2: Convert to fraction form
    6,758.44/15,784.88 = 15,784.88/x
  3. Step 3: Cross multiply
    6,758.44x = 15,784.88 × 15,784.88
  4. Step 4: Simplify right side
    6,758.44x = 249,162,278.77
  5. Step 5: Solve for x
    x = 249,162,278.77/6,758.44
  6. Step 6: Final answer
    x = 36,866.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.