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Finding the Third Proportional to 14,080.50 and 29,881

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Solution

The third proportional to 14,080.50 and 29,881 is: 63,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.50 : 29,881 = 29,881 : x
  2. Step 2: Convert to fraction form
    14,080.50/29,881 = 29,881/x
  3. Step 3: Cross multiply
    14,080.50x = 29,881 × 29,881
  4. Step 4: Simplify right side
    14,080.50x = 892,874,161
  5. Step 5: Solve for x
    x = 892,874,161/14,080.50
  6. Step 6: Final answer
    x = 63,412.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.