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Finding the Third Proportional to 1,029.94 and 1,509.47

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Solution

The third proportional to 1,029.94 and 1,509.47 is: 2,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.94 : 1,509.47 = 1,509.47 : x
  2. Step 2: Convert to fraction form
    1,029.94/1,509.47 = 1,509.47/x
  3. Step 3: Cross multiply
    1,029.94x = 1,509.47 × 1,509.47
  4. Step 4: Simplify right side
    1,029.94x = 2,278,495.91
  5. Step 5: Solve for x
    x = 2,278,495.91/1,029.94
  6. Step 6: Final answer
    x = 2,212.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.