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Finding the Third Proportional to 6,144.19 and 12,106.13

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Solution

The third proportional to 6,144.19 and 12,106.13 is: 23,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.19 : 12,106.13 = 12,106.13 : x
  2. Step 2: Convert to fraction form
    6,144.19/12,106.13 = 12,106.13/x
  3. Step 3: Cross multiply
    6,144.19x = 12,106.13 × 12,106.13
  4. Step 4: Simplify right side
    6,144.19x = 146,558,262.52
  5. Step 5: Solve for x
    x = 146,558,262.52/6,144.19
  6. Step 6: Final answer
    x = 23,853.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.