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Finding the Third Proportional to 1,095.75 and 1,639.63

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Solution

The third proportional to 1,095.75 and 1,639.63 is: 2,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.75 : 1,639.63 = 1,639.63 : x
  2. Step 2: Convert to fraction form
    1,095.75/1,639.63 = 1,639.63/x
  3. Step 3: Cross multiply
    1,095.75x = 1,639.63 × 1,639.63
  4. Step 4: Simplify right side
    1,095.75x = 2,688,370.14
  5. Step 5: Solve for x
    x = 2,688,370.14/1,095.75
  6. Step 6: Final answer
    x = 2,453.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.