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Finding the Third Proportional to 4,302 and 4,746

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Solution

The third proportional to 4,302 and 4,746 is: 5,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302 : 4,746 = 4,746 : x
  2. Step 2: Convert to fraction form
    4,302/4,746 = 4,746/x
  3. Step 3: Cross multiply
    4,302x = 4,746 × 4,746
  4. Step 4: Simplify right side
    4,302x = 22,524,516
  5. Step 5: Solve for x
    x = 22,524,516/4,302
  6. Step 6: Final answer
    x = 5,235.82

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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.