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Finding the Third Proportional to 21.52 and 46.16

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Solution

The third proportional to 21.52 and 46.16 is: 99.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.52 : 46.16 = 46.16 : x
  2. Step 2: Convert to fraction form
    21.52/46.16 = 46.16/x
  3. Step 3: Cross multiply
    21.52x = 46.16 × 46.16
  4. Step 4: Simplify right side
    21.52x = 2,130.76
  5. Step 5: Solve for x
    x = 2,130.76/21.52
  6. Step 6: Final answer
    x = 99.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.