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Finding the Third Proportional to 7,143.19 and 14,104.13

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Solution

The third proportional to 7,143.19 and 14,104.13 is: 27,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.19 : 14,104.13 = 14,104.13 : x
  2. Step 2: Convert to fraction form
    7,143.19/14,104.13 = 14,104.13/x
  3. Step 3: Cross multiply
    7,143.19x = 14,104.13 × 14,104.13
  4. Step 4: Simplify right side
    7,143.19x = 198,926,342.02
  5. Step 5: Solve for x
    x = 198,926,342.02/7,143.19
  6. Step 6: Final answer
    x = 27,848.40

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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.