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Finding the Third Proportional to 19,235.44 and 29,109.38

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Solution

The third proportional to 19,235.44 and 29,109.38 is: 44,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,235.44 : 29,109.38 = 29,109.38 : x
  2. Step 2: Convert to fraction form
    19,235.44/29,109.38 = 29,109.38/x
  3. Step 3: Cross multiply
    19,235.44x = 29,109.38 × 29,109.38
  4. Step 4: Simplify right side
    19,235.44x = 847,355,712.89
  5. Step 5: Solve for x
    x = 847,355,712.89/19,235.44
  6. Step 6: Final answer
    x = 44,051.80

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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.