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Finding the Third Proportional to 6,659.72 and 15,377.34

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Solution

The third proportional to 6,659.72 and 15,377.34 is: 35,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.72 : 15,377.34 = 15,377.34 : x
  2. Step 2: Convert to fraction form
    6,659.72/15,377.34 = 15,377.34/x
  3. Step 3: Cross multiply
    6,659.72x = 15,377.34 × 15,377.34
  4. Step 4: Simplify right side
    6,659.72x = 236,462,700.81
  5. Step 5: Solve for x
    x = 236,462,700.81/6,659.72
  6. Step 6: Final answer
    x = 35,506.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.