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Finding the Third Proportional to 8,145.56 and 13,590.28

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Solution

The third proportional to 8,145.56 and 13,590.28 is: 22,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.56 : 13,590.28 = 13,590.28 : x
  2. Step 2: Convert to fraction form
    8,145.56/13,590.28 = 13,590.28/x
  3. Step 3: Cross multiply
    8,145.56x = 13,590.28 × 13,590.28
  4. Step 4: Simplify right side
    8,145.56x = 184,695,744.45
  5. Step 5: Solve for x
    x = 184,695,744.45/8,145.56
  6. Step 6: Final answer
    x = 22,674.40

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.