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Finding the Third Proportional to 14,019 and 29,955

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Solution

The third proportional to 14,019 and 29,955 is: 64,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019 : 29,955 = 29,955 : x
  2. Step 2: Convert to fraction form
    14,019/29,955 = 29,955/x
  3. Step 3: Cross multiply
    14,019x = 29,955 × 29,955
  4. Step 4: Simplify right side
    14,019x = 897,302,025
  5. Step 5: Solve for x
    x = 897,302,025/14,019
  6. Step 6: Final answer
    x = 64,006.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.