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Finding the Third Proportional to 5,220.28 and 10,953.14

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Solution

The third proportional to 5,220.28 and 10,953.14 is: 22,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.28 : 10,953.14 = 10,953.14 : x
  2. Step 2: Convert to fraction form
    5,220.28/10,953.14 = 10,953.14/x
  3. Step 3: Cross multiply
    5,220.28x = 10,953.14 × 10,953.14
  4. Step 4: Simplify right side
    5,220.28x = 119,971,289.55
  5. Step 5: Solve for x
    x = 119,971,289.55/5,220.28
  6. Step 6: Final answer
    x = 22,981.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.