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Finding the Third Proportional to 6,502.88 and 14,031.38

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Solution

The third proportional to 6,502.88 and 14,031.38 is: 30,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.88 : 14,031.38 = 14,031.38 : x
  2. Step 2: Convert to fraction form
    6,502.88/14,031.38 = 14,031.38/x
  3. Step 3: Cross multiply
    6,502.88x = 14,031.38 × 14,031.38
  4. Step 4: Simplify right side
    6,502.88x = 196,879,484.39
  5. Step 5: Solve for x
    x = 196,879,484.39/6,502.88
  6. Step 6: Final answer
    x = 30,275.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.