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Finding the Third Proportional to 10,520.19 and 22,922.68

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Solution

The third proportional to 10,520.19 and 22,922.68 is: 49,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.19 : 22,922.68 = 22,922.68 : x
  2. Step 2: Convert to fraction form
    10,520.19/22,922.68 = 22,922.68/x
  3. Step 3: Cross multiply
    10,520.19x = 22,922.68 × 22,922.68
  4. Step 4: Simplify right side
    10,520.19x = 525,449,423.14
  5. Step 5: Solve for x
    x = 525,449,423.14/10,520.19
  6. Step 6: Final answer
    x = 49,946.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.