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Finding the Third Proportional to 1,048.15 and 1,418.45

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Solution

The third proportional to 1,048.15 and 1,418.45 is: 1,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.15 : 1,418.45 = 1,418.45 : x
  2. Step 2: Convert to fraction form
    1,048.15/1,418.45 = 1,418.45/x
  3. Step 3: Cross multiply
    1,048.15x = 1,418.45 × 1,418.45
  4. Step 4: Simplify right side
    1,048.15x = 2,011,998.19
  5. Step 5: Solve for x
    x = 2,011,998.19/1,048.15
  6. Step 6: Final answer
    x = 1,919.57

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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.