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Finding the Third Proportional to 20,402 and 30,224

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Solution

The third proportional to 20,402 and 30,224 is: 44,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402 : 30,224 = 30,224 : x
  2. Step 2: Convert to fraction form
    20,402/30,224 = 30,224/x
  3. Step 3: Cross multiply
    20,402x = 30,224 × 30,224
  4. Step 4: Simplify right side
    20,402x = 913,490,176
  5. Step 5: Solve for x
    x = 913,490,176/20,402
  6. Step 6: Final answer
    x = 44,774.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.