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Finding the Third Proportional to 14,071 and 29,968

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Solution

The third proportional to 14,071 and 29,968 is: 63,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071 : 29,968 = 29,968 : x
  2. Step 2: Convert to fraction form
    14,071/29,968 = 29,968/x
  3. Step 3: Cross multiply
    14,071x = 29,968 × 29,968
  4. Step 4: Simplify right side
    14,071x = 898,081,024
  5. Step 5: Solve for x
    x = 898,081,024/14,071
  6. Step 6: Final answer
    x = 63,824.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.