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Finding the Third Proportional to 6,518.81 and 14,227.13

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Solution

The third proportional to 6,518.81 and 14,227.13 is: 31,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.81 : 14,227.13 = 14,227.13 : x
  2. Step 2: Convert to fraction form
    6,518.81/14,227.13 = 14,227.13/x
  3. Step 3: Cross multiply
    6,518.81x = 14,227.13 × 14,227.13
  4. Step 4: Simplify right side
    6,518.81x = 202,411,085.77
  5. Step 5: Solve for x
    x = 202,411,085.77/6,518.81
  6. Step 6: Final answer
    x = 31,050.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.