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Finding the Third Proportional to 1,581.75 and 3,465.84

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Solution

The third proportional to 1,581.75 and 3,465.84 is: 7,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.75 : 3,465.84 = 3,465.84 : x
  2. Step 2: Convert to fraction form
    1,581.75/3,465.84 = 3,465.84/x
  3. Step 3: Cross multiply
    1,581.75x = 3,465.84 × 3,465.84
  4. Step 4: Simplify right side
    1,581.75x = 12,012,072.90
  5. Step 5: Solve for x
    x = 12,012,072.90/1,581.75
  6. Step 6: Final answer
    x = 7,594.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.