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Finding the Third Proportional to 2,377.63 and 3,659.19

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Solution

The third proportional to 2,377.63 and 3,659.19 is: 5,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.63 : 3,659.19 = 3,659.19 : x
  2. Step 2: Convert to fraction form
    2,377.63/3,659.19 = 3,659.19/x
  3. Step 3: Cross multiply
    2,377.63x = 3,659.19 × 3,659.19
  4. Step 4: Simplify right side
    2,377.63x = 13,389,653.16
  5. Step 5: Solve for x
    x = 13,389,653.16/2,377.63
  6. Step 6: Final answer
    x = 5,631.52

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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.