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Finding the Third Proportional to 6,275.06 and 13,522.13

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Solution

The third proportional to 6,275.06 and 13,522.13 is: 29,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.06 : 13,522.13 = 13,522.13 : x
  2. Step 2: Convert to fraction form
    6,275.06/13,522.13 = 13,522.13/x
  3. Step 3: Cross multiply
    6,275.06x = 13,522.13 × 13,522.13
  4. Step 4: Simplify right side
    6,275.06x = 182,847,864.52
  5. Step 5: Solve for x
    x = 182,847,864.52/6,275.06
  6. Step 6: Final answer
    x = 29,138.81

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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.