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Finding the Third Proportional to 4,972.64 and 10,627.45

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Solution

The third proportional to 4,972.64 and 10,627.45 is: 22,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.64 : 10,627.45 = 10,627.45 : x
  2. Step 2: Convert to fraction form
    4,972.64/10,627.45 = 10,627.45/x
  3. Step 3: Cross multiply
    4,972.64x = 10,627.45 × 10,627.45
  4. Step 4: Simplify right side
    4,972.64x = 112,942,759.92
  5. Step 5: Solve for x
    x = 112,942,759.92/4,972.64
  6. Step 6: Final answer
    x = 22,712.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.