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Finding the Third Proportional to 9,772.31 and 21,337.03

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Solution

The third proportional to 9,772.31 and 21,337.03 is: 46,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.31 : 21,337.03 = 21,337.03 : x
  2. Step 2: Convert to fraction form
    9,772.31/21,337.03 = 21,337.03/x
  3. Step 3: Cross multiply
    9,772.31x = 21,337.03 × 21,337.03
  4. Step 4: Simplify right side
    9,772.31x = 455,268,902.56
  5. Step 5: Solve for x
    x = 455,268,902.56/9,772.31
  6. Step 6: Final answer
    x = 46,587.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.