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Finding the Third Proportional to 20,994.19 and 29,890.69

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Solution

The third proportional to 20,994.19 and 29,890.69 is: 42,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.19 : 29,890.69 = 29,890.69 : x
  2. Step 2: Convert to fraction form
    20,994.19/29,890.69 = 29,890.69/x
  3. Step 3: Cross multiply
    20,994.19x = 29,890.69 × 29,890.69
  4. Step 4: Simplify right side
    20,994.19x = 893,453,199.22
  5. Step 5: Solve for x
    x = 893,453,199.22/20,994.19
  6. Step 6: Final answer
    x = 42,557.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.