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Finding the Third Proportional to 1,919.32 and 4,203.77

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Solution

The third proportional to 1,919.32 and 4,203.77 is: 9,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.32 : 4,203.77 = 4,203.77 : x
  2. Step 2: Convert to fraction form
    1,919.32/4,203.77 = 4,203.77/x
  3. Step 3: Cross multiply
    1,919.32x = 4,203.77 × 4,203.77
  4. Step 4: Simplify right side
    1,919.32x = 17,671,711.11
  5. Step 5: Solve for x
    x = 17,671,711.11/1,919.32
  6. Step 6: Final answer
    x = 9,207.28

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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.