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Finding the Third Proportional to 19,492.31 and 29,414.81

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Solution

The third proportional to 19,492.31 and 29,414.81 is: 44,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492.31 : 29,414.81 = 29,414.81 : x
  2. Step 2: Convert to fraction form
    19,492.31/29,414.81 = 29,414.81/x
  3. Step 3: Cross multiply
    19,492.31x = 29,414.81 × 29,414.81
  4. Step 4: Simplify right side
    19,492.31x = 865,231,194.41
  5. Step 5: Solve for x
    x = 865,231,194.41/19,492.31
  6. Step 6: Final answer
    x = 44,388.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.