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Finding the Third Proportional to 1,519.59 and 3,145.08

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Solution

The third proportional to 1,519.59 and 3,145.08 is: 6,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.59 : 3,145.08 = 3,145.08 : x
  2. Step 2: Convert to fraction form
    1,519.59/3,145.08 = 3,145.08/x
  3. Step 3: Cross multiply
    1,519.59x = 3,145.08 × 3,145.08
  4. Step 4: Simplify right side
    1,519.59x = 9,891,516.41
  5. Step 5: Solve for x
    x = 9,891,516.41/1,519.59
  6. Step 6: Final answer
    x = 6,509.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.