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Finding the Third Proportional to 1,029.38 and 1,569.80

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Solution

The third proportional to 1,029.38 and 1,569.80 is: 2,393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.38 : 1,569.80 = 1,569.80 : x
  2. Step 2: Convert to fraction form
    1,029.38/1,569.80 = 1,569.80/x
  3. Step 3: Cross multiply
    1,029.38x = 1,569.80 × 1,569.80
  4. Step 4: Simplify right side
    1,029.38x = 2,464,262.23
  5. Step 5: Solve for x
    x = 2,464,262.23/1,029.38
  6. Step 6: Final answer
    x = 2,393.94

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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.