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Finding the Third Proportional to 762.46 and 1,653.06

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Solution

The third proportional to 762.46 and 1,653.06 is: 3,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.46 : 1,653.06 = 1,653.06 : x
  2. Step 2: Convert to fraction form
    762.46/1,653.06 = 1,653.06/x
  3. Step 3: Cross multiply
    762.46x = 1,653.06 × 1,653.06
  4. Step 4: Simplify right side
    762.46x = 2,732,622.09
  5. Step 5: Solve for x
    x = 2,732,622.09/762.46
  6. Step 6: Final answer
    x = 3,583.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.