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Finding the Third Proportional to 14,409.42 and 22,051.41

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Solution

The third proportional to 14,409.42 and 22,051.41 is: 33,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.42 : 22,051.41 = 22,051.41 : x
  2. Step 2: Convert to fraction form
    14,409.42/22,051.41 = 22,051.41/x
  3. Step 3: Cross multiply
    14,409.42x = 22,051.41 × 22,051.41
  4. Step 4: Simplify right side
    14,409.42x = 486,264,517.60
  5. Step 5: Solve for x
    x = 486,264,517.60/14,409.42
  6. Step 6: Final answer
    x = 33,746.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.