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Finding the Third Proportional to 6,170.06 and 9,143.44

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Solution

The third proportional to 6,170.06 and 9,143.44 is: 13,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.06 : 9,143.44 = 9,143.44 : x
  2. Step 2: Convert to fraction form
    6,170.06/9,143.44 = 9,143.44/x
  3. Step 3: Cross multiply
    6,170.06x = 9,143.44 × 9,143.44
  4. Step 4: Simplify right side
    6,170.06x = 83,602,449.32
  5. Step 5: Solve for x
    x = 83,602,449.32/6,170.06
  6. Step 6: Final answer
    x = 13,549.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.