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Finding the Third Proportional to 6,221.81 and 13,208.06

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Solution

The third proportional to 6,221.81 and 13,208.06 is: 28,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.81 : 13,208.06 = 13,208.06 : x
  2. Step 2: Convert to fraction form
    6,221.81/13,208.06 = 13,208.06/x
  3. Step 3: Cross multiply
    6,221.81x = 13,208.06 × 13,208.06
  4. Step 4: Simplify right side
    6,221.81x = 174,452,915.00
  5. Step 5: Solve for x
    x = 174,452,915.00/6,221.81
  6. Step 6: Final answer
    x = 28,038.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.