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Finding the Third Proportional to 10.47 and 22.94

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Solution

The third proportional to 10.47 and 22.94 is: 50.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.47 : 22.94 = 22.94 : x
  2. Step 2: Convert to fraction form
    10.47/22.94 = 22.94/x
  3. Step 3: Cross multiply
    10.47x = 22.94 × 22.94
  4. Step 4: Simplify right side
    10.47x = 526.09
  5. Step 5: Solve for x
    x = 526.09/10.47
  6. Step 6: Final answer
    x = 50.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.