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Finding the Third Proportional to 6,031 and 13,178.25

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Solution

The third proportional to 6,031 and 13,178.25 is: 28,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031 : 13,178.25 = 13,178.25 : x
  2. Step 2: Convert to fraction form
    6,031/13,178.25 = 13,178.25/x
  3. Step 3: Cross multiply
    6,031x = 13,178.25 × 13,178.25
  4. Step 4: Simplify right side
    6,031x = 173,666,273.06
  5. Step 5: Solve for x
    x = 173,666,273.06/6,031
  6. Step 6: Final answer
    x = 28,795.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.