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Finding the Third Proportional to 1,585.69 and 3,407.63

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Solution

The third proportional to 1,585.69 and 3,407.63 is: 7,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.69 : 3,407.63 = 3,407.63 : x
  2. Step 2: Convert to fraction form
    1,585.69/3,407.63 = 3,407.63/x
  3. Step 3: Cross multiply
    1,585.69x = 3,407.63 × 3,407.63
  4. Step 4: Simplify right side
    1,585.69x = 11,611,908.14
  5. Step 5: Solve for x
    x = 11,611,908.14/1,585.69
  6. Step 6: Final answer
    x = 7,322.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.