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Finding the Third Proportional to 4,038.19 and 4,443.19

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Solution

The third proportional to 4,038.19 and 4,443.19 is: 4,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.19 : 4,443.19 = 4,443.19 : x
  2. Step 2: Convert to fraction form
    4,038.19/4,443.19 = 4,443.19/x
  3. Step 3: Cross multiply
    4,038.19x = 4,443.19 × 4,443.19
  4. Step 4: Simplify right side
    4,038.19x = 19,741,915.16
  5. Step 5: Solve for x
    x = 19,741,915.16/4,038.19
  6. Step 6: Final answer
    x = 4,888.81

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.