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Finding the Third Proportional to 21,497.91 and 29,193.33

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Solution

The third proportional to 21,497.91 and 29,193.33 is: 39,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.91 : 29,193.33 = 29,193.33 : x
  2. Step 2: Convert to fraction form
    21,497.91/29,193.33 = 29,193.33/x
  3. Step 3: Cross multiply
    21,497.91x = 29,193.33 × 29,193.33
  4. Step 4: Simplify right side
    21,497.91x = 852,250,407.01
  5. Step 5: Solve for x
    x = 852,250,407.01/21,497.91
  6. Step 6: Final answer
    x = 39,643.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.