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Finding the Third Proportional to 6,031.08 and 13,289.20

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Solution

The third proportional to 6,031.08 and 13,289.20 is: 29,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.08 : 13,289.20 = 13,289.20 : x
  2. Step 2: Convert to fraction form
    6,031.08/13,289.20 = 13,289.20/x
  3. Step 3: Cross multiply
    6,031.08x = 13,289.20 × 13,289.20
  4. Step 4: Simplify right side
    6,031.08x = 176,602,919.70
  5. Step 5: Solve for x
    x = 176,602,919.70/6,031.08
  6. Step 6: Final answer
    x = 29,282.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.