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Finding the Third Proportional to 6,820.22 and 10,291.13

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Solution

The third proportional to 6,820.22 and 10,291.13 is: 15,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.22 : 10,291.13 = 10,291.13 : x
  2. Step 2: Convert to fraction form
    6,820.22/10,291.13 = 10,291.13/x
  3. Step 3: Cross multiply
    6,820.22x = 10,291.13 × 10,291.13
  4. Step 4: Simplify right side
    6,820.22x = 105,907,253.77
  5. Step 5: Solve for x
    x = 105,907,253.77/6,820.22
  6. Step 6: Final answer
    x = 15,528.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.