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Finding the Third Proportional to 8,615.58 and 11,864.05

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Solution

The third proportional to 8,615.58 and 11,864.05 is: 16,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.58 : 11,864.05 = 11,864.05 : x
  2. Step 2: Convert to fraction form
    8,615.58/11,864.05 = 11,864.05/x
  3. Step 3: Cross multiply
    8,615.58x = 11,864.05 × 11,864.05
  4. Step 4: Simplify right side
    8,615.58x = 140,755,631.42
  5. Step 5: Solve for x
    x = 140,755,631.42/8,615.58
  6. Step 6: Final answer
    x = 16,337.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.