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Finding the Third Proportional to 9,932.63 and 21,573.84

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Solution

The third proportional to 9,932.63 and 21,573.84 is: 46,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.63 : 21,573.84 = 21,573.84 : x
  2. Step 2: Convert to fraction form
    9,932.63/21,573.84 = 21,573.84/x
  3. Step 3: Cross multiply
    9,932.63x = 21,573.84 × 21,573.84
  4. Step 4: Simplify right side
    9,932.63x = 465,430,734.15
  5. Step 5: Solve for x
    x = 465,430,734.15/9,932.63
  6. Step 6: Final answer
    x = 46,858.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.