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Finding the Third Proportional to 6,031.13 and 13,289.06

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Solution

The third proportional to 6,031.13 and 13,289.06 is: 29,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.13 : 13,289.06 = 13,289.06 : x
  2. Step 2: Convert to fraction form
    6,031.13/13,289.06 = 13,289.06/x
  3. Step 3: Cross multiply
    6,031.13x = 13,289.06 × 13,289.06
  4. Step 4: Simplify right side
    6,031.13x = 176,599,182.13
  5. Step 5: Solve for x
    x = 176,599,182.13/6,031.13
  6. Step 6: Final answer
    x = 29,281.30

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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.