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Finding the Third Proportional to 9,773.96 and 21,340.34

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Solution

The third proportional to 9,773.96 and 21,340.34 is: 46,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.96 : 21,340.34 = 21,340.34 : x
  2. Step 2: Convert to fraction form
    9,773.96/21,340.34 = 21,340.34/x
  3. Step 3: Cross multiply
    9,773.96x = 21,340.34 × 21,340.34
  4. Step 4: Simplify right side
    9,773.96x = 455,409,937.93
  5. Step 5: Solve for x
    x = 455,409,937.93/9,773.96
  6. Step 6: Final answer
    x = 46,594.22

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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.