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Finding the Third Proportional to 1,202.63 and 2,207.81

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Solution

The third proportional to 1,202.63 and 2,207.81 is: 4,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.63 : 2,207.81 = 2,207.81 : x
  2. Step 2: Convert to fraction form
    1,202.63/2,207.81 = 2,207.81/x
  3. Step 3: Cross multiply
    1,202.63x = 2,207.81 × 2,207.81
  4. Step 4: Simplify right side
    1,202.63x = 4,874,436.04
  5. Step 5: Solve for x
    x = 4,874,436.04/1,202.63
  6. Step 6: Final answer
    x = 4,053.16

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.