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Finding the Third Proportional to 8,590.43 and 11,402.02

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Solution

The third proportional to 8,590.43 and 11,402.02 is: 15,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.43 : 11,402.02 = 11,402.02 : x
  2. Step 2: Convert to fraction form
    8,590.43/11,402.02 = 11,402.02/x
  3. Step 3: Cross multiply
    8,590.43x = 11,402.02 × 11,402.02
  4. Step 4: Simplify right side
    8,590.43x = 130,005,960.31
  5. Step 5: Solve for x
    x = 130,005,960.31/8,590.43
  6. Step 6: Final answer
    x = 15,133.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.