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Finding the Third Proportional to 9,402 and 20,746

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Solution

The third proportional to 9,402 and 20,746 is: 45,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402 : 20,746 = 20,746 : x
  2. Step 2: Convert to fraction form
    9,402/20,746 = 20,746/x
  3. Step 3: Cross multiply
    9,402x = 20,746 × 20,746
  4. Step 4: Simplify right side
    9,402x = 430,396,516
  5. Step 5: Solve for x
    x = 430,396,516/9,402
  6. Step 6: Final answer
    x = 45,777.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.