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Finding the Third Proportional to 2,214 and 4,746

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Solution

The third proportional to 2,214 and 4,746 is: 10,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 4,746 = 4,746 : x
  2. Step 2: Convert to fraction form
    2,214/4,746 = 4,746/x
  3. Step 3: Cross multiply
    2,214x = 4,746 × 4,746
  4. Step 4: Simplify right side
    2,214x = 22,524,516
  5. Step 5: Solve for x
    x = 22,524,516/2,214
  6. Step 6: Final answer
    x = 10,173.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.