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Finding the Third Proportional to 1,706.63 and 2,616.19

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Solution

The third proportional to 1,706.63 and 2,616.19 is: 4,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.63 : 2,616.19 = 2,616.19 : x
  2. Step 2: Convert to fraction form
    1,706.63/2,616.19 = 2,616.19/x
  3. Step 3: Cross multiply
    1,706.63x = 2,616.19 × 2,616.19
  4. Step 4: Simplify right side
    1,706.63x = 6,844,437.04
  5. Step 5: Solve for x
    x = 6,844,437.04/1,706.63
  6. Step 6: Final answer
    x = 4,010.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.