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Finding the Third Proportional to 6,171.19 and 7,538.06

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Solution

The third proportional to 6,171.19 and 7,538.06 is: 9,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.19 : 7,538.06 = 7,538.06 : x
  2. Step 2: Convert to fraction form
    6,171.19/7,538.06 = 7,538.06/x
  3. Step 3: Cross multiply
    6,171.19x = 7,538.06 × 7,538.06
  4. Step 4: Simplify right side
    6,171.19x = 56,822,386.25
  5. Step 5: Solve for x
    x = 56,822,386.25/6,171.19
  6. Step 6: Final answer
    x = 9,207.69

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.