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Finding the Third Proportional to 10,219.88 and 22,052.63

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Solution

The third proportional to 10,219.88 and 22,052.63 is: 47,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.88 : 22,052.63 = 22,052.63 : x
  2. Step 2: Convert to fraction form
    10,219.88/22,052.63 = 22,052.63/x
  3. Step 3: Cross multiply
    10,219.88x = 22,052.63 × 22,052.63
  4. Step 4: Simplify right side
    10,219.88x = 486,318,269.39
  5. Step 5: Solve for x
    x = 486,318,269.39/10,219.88
  6. Step 6: Final answer
    x = 47,585.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.