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Finding the Third Proportional to 2,371.15 and 3,465.60

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Solution

The third proportional to 2,371.15 and 3,465.60 is: 5,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.15 : 3,465.60 = 3,465.60 : x
  2. Step 2: Convert to fraction form
    2,371.15/3,465.60 = 3,465.60/x
  3. Step 3: Cross multiply
    2,371.15x = 3,465.60 × 3,465.60
  4. Step 4: Simplify right side
    2,371.15x = 12,010,367.12
  5. Step 5: Solve for x
    x = 12,010,367.12/2,371.15
  6. Step 6: Final answer
    x = 5,065.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.