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Finding the Third Proportional to 1,529.30 and 2,354.70

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Solution

The third proportional to 1,529.30 and 2,354.70 is: 3,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.30 : 2,354.70 = 2,354.70 : x
  2. Step 2: Convert to fraction form
    1,529.30/2,354.70 = 2,354.70/x
  3. Step 3: Cross multiply
    1,529.30x = 2,354.70 × 2,354.70
  4. Step 4: Simplify right side
    1,529.30x = 5,544,590.01
  5. Step 5: Solve for x
    x = 5,544,590.01/1,529.30
  6. Step 6: Final answer
    x = 3,625.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.