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Finding the Third Proportional to 9,644.06 and 21,132.56

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Solution

The third proportional to 9,644.06 and 21,132.56 is: 46,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.06 : 21,132.56 = 21,132.56 : x
  2. Step 2: Convert to fraction form
    9,644.06/21,132.56 = 21,132.56/x
  3. Step 3: Cross multiply
    9,644.06x = 21,132.56 × 21,132.56
  4. Step 4: Simplify right side
    9,644.06x = 446,585,197.82
  5. Step 5: Solve for x
    x = 446,585,197.82/9,644.06
  6. Step 6: Final answer
    x = 46,306.75

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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.