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Finding the Third Proportional to 6,184.13 and 8,506.13

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Solution

The third proportional to 6,184.13 and 8,506.13 is: 11,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.13 : 8,506.13 = 8,506.13 : x
  2. Step 2: Convert to fraction form
    6,184.13/8,506.13 = 8,506.13/x
  3. Step 3: Cross multiply
    6,184.13x = 8,506.13 × 8,506.13
  4. Step 4: Simplify right side
    6,184.13x = 72,354,162.52
  5. Step 5: Solve for x
    x = 72,354,162.52/6,184.13
  6. Step 6: Final answer
    x = 11,699.98

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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.