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Finding the Third Proportional to 1,095.56 and 1,476.19

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Solution

The third proportional to 1,095.56 and 1,476.19 is: 1,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.56 : 1,476.19 = 1,476.19 : x
  2. Step 2: Convert to fraction form
    1,095.56/1,476.19 = 1,476.19/x
  3. Step 3: Cross multiply
    1,095.56x = 1,476.19 × 1,476.19
  4. Step 4: Simplify right side
    1,095.56x = 2,179,129.54
  5. Step 5: Solve for x
    x = 2,179,129.54/1,095.56
  6. Step 6: Final answer
    x = 1,989.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.