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Finding the Third Proportional to 4,109.63 and 6,709.88

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Solution

The third proportional to 4,109.63 and 6,709.88 is: 10,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.63 : 6,709.88 = 6,709.88 : x
  2. Step 2: Convert to fraction form
    4,109.63/6,709.88 = 6,709.88/x
  3. Step 3: Cross multiply
    4,109.63x = 6,709.88 × 6,709.88
  4. Step 4: Simplify right side
    4,109.63x = 45,022,422.52
  5. Step 5: Solve for x
    x = 45,022,422.52/4,109.63
  6. Step 6: Final answer
    x = 10,955.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.