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Finding the Third Proportional to 1,065.66 and 2,302.03

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Solution

The third proportional to 1,065.66 and 2,302.03 is: 4,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.66 : 2,302.03 = 2,302.03 : x
  2. Step 2: Convert to fraction form
    1,065.66/2,302.03 = 2,302.03/x
  3. Step 3: Cross multiply
    1,065.66x = 2,302.03 × 2,302.03
  4. Step 4: Simplify right side
    1,065.66x = 5,299,347.88
  5. Step 5: Solve for x
    x = 5,299,347.88/1,065.66
  6. Step 6: Final answer
    x = 4,972.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.