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Finding the Third Proportional to 4,407.38 and 4,868.63

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Solution

The third proportional to 4,407.38 and 4,868.63 is: 5,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.38 : 4,868.63 = 4,868.63 : x
  2. Step 2: Convert to fraction form
    4,407.38/4,868.63 = 4,868.63/x
  3. Step 3: Cross multiply
    4,407.38x = 4,868.63 × 4,868.63
  4. Step 4: Simplify right side
    4,407.38x = 23,703,509.39
  5. Step 5: Solve for x
    x = 23,703,509.39/4,407.38
  6. Step 6: Final answer
    x = 5,378.15

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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.