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Finding the Third Proportional to 4,206.09 and 6,531.05

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Solution

The third proportional to 4,206.09 and 6,531.05 is: 10,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.09 : 6,531.05 = 6,531.05 : x
  2. Step 2: Convert to fraction form
    4,206.09/6,531.05 = 6,531.05/x
  3. Step 3: Cross multiply
    4,206.09x = 6,531.05 × 6,531.05
  4. Step 4: Simplify right side
    4,206.09x = 42,654,573.28
  5. Step 5: Solve for x
    x = 42,654,573.28/4,206.09
  6. Step 6: Final answer
    x = 10,141.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.