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Finding the Third Proportional to 1,913.63 and 3,052.69

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Solution

The third proportional to 1,913.63 and 3,052.69 is: 4,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.63 : 3,052.69 = 3,052.69 : x
  2. Step 2: Convert to fraction form
    1,913.63/3,052.69 = 3,052.69/x
  3. Step 3: Cross multiply
    1,913.63x = 3,052.69 × 3,052.69
  4. Step 4: Simplify right side
    1,913.63x = 9,318,900.97
  5. Step 5: Solve for x
    x = 9,318,900.97/1,913.63
  6. Step 6: Final answer
    x = 4,869.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.