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Finding the Third Proportional to 20,103.19 and 29,916.84

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Solution

The third proportional to 20,103.19 and 29,916.84 is: 44,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.19 : 29,916.84 = 29,916.84 : x
  2. Step 2: Convert to fraction form
    20,103.19/29,916.84 = 29,916.84/x
  3. Step 3: Cross multiply
    20,103.19x = 29,916.84 × 29,916.84
  4. Step 4: Simplify right side
    20,103.19x = 895,017,539.96
  5. Step 5: Solve for x
    x = 895,017,539.96/20,103.19
  6. Step 6: Final answer
    x = 44,521.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.