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Finding the Third Proportional to 14,754 and 31,968

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Solution

The third proportional to 14,754 and 31,968 is: 69,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754 : 31,968 = 31,968 : x
  2. Step 2: Convert to fraction form
    14,754/31,968 = 31,968/x
  3. Step 3: Cross multiply
    14,754x = 31,968 × 31,968
  4. Step 4: Simplify right side
    14,754x = 1,021,953,024
  5. Step 5: Solve for x
    x = 1,021,953,024/14,754
  6. Step 6: Final answer
    x = 69,266.17

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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.