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Finding the Third Proportional to 6,186.53 and 9,572.40

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Solution

The third proportional to 6,186.53 and 9,572.40 is: 14,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.53 : 9,572.40 = 9,572.40 : x
  2. Step 2: Convert to fraction form
    6,186.53/9,572.40 = 9,572.40/x
  3. Step 3: Cross multiply
    6,186.53x = 9,572.40 × 9,572.40
  4. Step 4: Simplify right side
    6,186.53x = 91,630,774.45
  5. Step 5: Solve for x
    x = 91,630,774.45/6,186.53
  6. Step 6: Final answer
    x = 14,811.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.