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Finding the Third Proportional to 13,810.50 and 29,954.81

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Solution

The third proportional to 13,810.50 and 29,954.81 is: 64,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.50 : 29,954.81 = 29,954.81 : x
  2. Step 2: Convert to fraction form
    13,810.50/29,954.81 = 29,954.81/x
  3. Step 3: Cross multiply
    13,810.50x = 29,954.81 × 29,954.81
  4. Step 4: Simplify right side
    13,810.50x = 897,290,791.91
  5. Step 5: Solve for x
    x = 897,290,791.91/13,810.50
  6. Step 6: Final answer
    x = 64,971.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.