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Finding the Third Proportional to 6,182.44 and 13,549.50

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Solution

The third proportional to 6,182.44 and 13,549.50 is: 29,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.44 : 13,549.50 = 13,549.50 : x
  2. Step 2: Convert to fraction form
    6,182.44/13,549.50 = 13,549.50/x
  3. Step 3: Cross multiply
    6,182.44x = 13,549.50 × 13,549.50
  4. Step 4: Simplify right side
    6,182.44x = 183,588,950.25
  5. Step 5: Solve for x
    x = 183,588,950.25/6,182.44
  6. Step 6: Final answer
    x = 29,695.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.