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Finding the Third Proportional to 21,022.88 and 32,141.81

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Solution

The third proportional to 21,022.88 and 32,141.81 is: 49,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.88 : 32,141.81 = 32,141.81 : x
  2. Step 2: Convert to fraction form
    21,022.88/32,141.81 = 32,141.81/x
  3. Step 3: Cross multiply
    21,022.88x = 32,141.81 × 32,141.81
  4. Step 4: Simplify right side
    21,022.88x = 1,033,096,110.79
  5. Step 5: Solve for x
    x = 1,033,096,110.79/21,022.88
  6. Step 6: Final answer
    x = 49,141.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.