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Finding the Third Proportional to 3,135 and 4,746

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Solution

The third proportional to 3,135 and 4,746 is: 7,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135 : 4,746 = 4,746 : x
  2. Step 2: Convert to fraction form
    3,135/4,746 = 4,746/x
  3. Step 3: Cross multiply
    3,135x = 4,746 × 4,746
  4. Step 4: Simplify right side
    3,135x = 22,524,516
  5. Step 5: Solve for x
    x = 22,524,516/3,135
  6. Step 6: Final answer
    x = 7,184.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.