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Finding the Third Proportional to 21,383.16 and 30,801.66

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Solution

The third proportional to 21,383.16 and 30,801.66 is: 44,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.16 : 30,801.66 = 30,801.66 : x
  2. Step 2: Convert to fraction form
    21,383.16/30,801.66 = 30,801.66/x
  3. Step 3: Cross multiply
    21,383.16x = 30,801.66 × 30,801.66
  4. Step 4: Simplify right side
    21,383.16x = 948,742,027.74
  5. Step 5: Solve for x
    x = 948,742,027.74/21,383.16
  6. Step 6: Final answer
    x = 44,368.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.