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Finding the Third Proportional to 6,718.22 and 14,587.03

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Solution

The third proportional to 6,718.22 and 14,587.03 is: 31,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.22 : 14,587.03 = 14,587.03 : x
  2. Step 2: Convert to fraction form
    6,718.22/14,587.03 = 14,587.03/x
  3. Step 3: Cross multiply
    6,718.22x = 14,587.03 × 14,587.03
  4. Step 4: Simplify right side
    6,718.22x = 212,781,480.69
  5. Step 5: Solve for x
    x = 212,781,480.69/6,718.22
  6. Step 6: Final answer
    x = 31,672.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.