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Finding the Third Proportional to 2,032.88 and 4,434.19

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Solution

The third proportional to 2,032.88 and 4,434.19 is: 9,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.88 : 4,434.19 = 4,434.19 : x
  2. Step 2: Convert to fraction form
    2,032.88/4,434.19 = 4,434.19/x
  3. Step 3: Cross multiply
    2,032.88x = 4,434.19 × 4,434.19
  4. Step 4: Simplify right side
    2,032.88x = 19,662,018.79
  5. Step 5: Solve for x
    x = 19,662,018.79/2,032.88
  6. Step 6: Final answer
    x = 9,672.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.