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Finding the Third Proportional to 21,146.91 and 30,720.94

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Solution

The third proportional to 21,146.91 and 30,720.94 is: 44,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.91 : 30,720.94 = 30,720.94 : x
  2. Step 2: Convert to fraction form
    21,146.91/30,720.94 = 30,720.94/x
  3. Step 3: Cross multiply
    21,146.91x = 30,720.94 × 30,720.94
  4. Step 4: Simplify right side
    21,146.91x = 943,776,000.88
  5. Step 5: Solve for x
    x = 943,776,000.88/21,146.91
  6. Step 6: Final answer
    x = 44,629.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.