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Finding the Third Proportional to 6,581.81 and 14,217.19

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Solution

The third proportional to 6,581.81 and 14,217.19 is: 30,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.81 : 14,217.19 = 14,217.19 : x
  2. Step 2: Convert to fraction form
    6,581.81/14,217.19 = 14,217.19/x
  3. Step 3: Cross multiply
    6,581.81x = 14,217.19 × 14,217.19
  4. Step 4: Simplify right side
    6,581.81x = 202,128,420.41
  5. Step 5: Solve for x
    x = 202,128,420.41/6,581.81
  6. Step 6: Final answer
    x = 30,710.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.