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Finding the Third Proportional to 6,145.03 and 13,186.13

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Solution

The third proportional to 6,145.03 and 13,186.13 is: 28,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.03 : 13,186.13 = 13,186.13 : x
  2. Step 2: Convert to fraction form
    6,145.03/13,186.13 = 13,186.13/x
  3. Step 3: Cross multiply
    6,145.03x = 13,186.13 × 13,186.13
  4. Step 4: Simplify right side
    6,145.03x = 173,873,892.52
  5. Step 5: Solve for x
    x = 173,873,892.52/6,145.03
  6. Step 6: Final answer
    x = 28,295.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.