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Finding the Third Proportional to 6,184.13 and 9,590.63

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Solution

The third proportional to 6,184.13 and 9,590.63 is: 14,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.13 : 9,590.63 = 9,590.63 : x
  2. Step 2: Convert to fraction form
    6,184.13/9,590.63 = 9,590.63/x
  3. Step 3: Cross multiply
    6,184.13x = 9,590.63 × 9,590.63
  4. Step 4: Simplify right side
    6,184.13x = 91,980,087.89
  5. Step 5: Solve for x
    x = 91,980,087.89/6,184.13
  6. Step 6: Final answer
    x = 14,873.58

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