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Finding the Third Proportional to 4.71 and 10.48

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Solution

The third proportional to 4.71 and 10.48 is: 23.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.71 : 10.48 = 10.48 : x
  2. Step 2: Convert to fraction form
    4.71/10.48 = 10.48/x
  3. Step 3: Cross multiply
    4.71x = 10.48 × 10.48
  4. Step 4: Simplify right side
    4.71x = 109.76
  5. Step 5: Solve for x
    x = 109.76/4.71
  6. Step 6: Final answer
    x = 23.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.