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Finding the Third Proportional to 14,085 and 21,935.81

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Solution

The third proportional to 14,085 and 21,935.81 is: 34,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085 : 21,935.81 = 21,935.81 : x
  2. Step 2: Convert to fraction form
    14,085/21,935.81 = 21,935.81/x
  3. Step 3: Cross multiply
    14,085x = 21,935.81 × 21,935.81
  4. Step 4: Simplify right side
    14,085x = 481,179,870.04
  5. Step 5: Solve for x
    x = 481,179,870.04/14,085
  6. Step 6: Final answer
    x = 34,162.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.