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Finding the Third Proportional to 1,518.75 and 2,345.20

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Solution

The third proportional to 1,518.75 and 2,345.20 is: 3,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.75 : 2,345.20 = 2,345.20 : x
  2. Step 2: Convert to fraction form
    1,518.75/2,345.20 = 2,345.20/x
  3. Step 3: Cross multiply
    1,518.75x = 2,345.20 × 2,345.20
  4. Step 4: Simplify right side
    1,518.75x = 5,499,977.70
  5. Step 5: Solve for x
    x = 5,499,977.70/1,518.75
  6. Step 6: Final answer
    x = 3,621.38

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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.