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Finding the Third Proportional to 1,578.75 and 2,929.13

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Solution

The third proportional to 1,578.75 and 2,929.13 is: 5,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.75 : 2,929.13 = 2,929.13 : x
  2. Step 2: Convert to fraction form
    1,578.75/2,929.13 = 2,929.13/x
  3. Step 3: Cross multiply
    1,578.75x = 2,929.13 × 2,929.13
  4. Step 4: Simplify right side
    1,578.75x = 8,579,773.27
  5. Step 5: Solve for x
    x = 8,579,773.27/1,578.75
  6. Step 6: Final answer
    x = 5,434.54

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.