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Finding the Third Proportional to 4,064.63 and 9,721.13

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Solution

The third proportional to 4,064.63 and 9,721.13 is: 23,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.63 : 9,721.13 = 9,721.13 : x
  2. Step 2: Convert to fraction form
    4,064.63/9,721.13 = 9,721.13/x
  3. Step 3: Cross multiply
    4,064.63x = 9,721.13 × 9,721.13
  4. Step 4: Simplify right side
    4,064.63x = 94,500,271.27
  5. Step 5: Solve for x
    x = 94,500,271.27/4,064.63
  6. Step 6: Final answer
    x = 23,249.44

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.