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Finding the Third Proportional to 15,012 and 31,968

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Solution

The third proportional to 15,012 and 31,968 is: 68,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012 : 31,968 = 31,968 : x
  2. Step 2: Convert to fraction form
    15,012/31,968 = 31,968/x
  3. Step 3: Cross multiply
    15,012x = 31,968 × 31,968
  4. Step 4: Simplify right side
    15,012x = 1,021,953,024
  5. Step 5: Solve for x
    x = 1,021,953,024/15,012
  6. Step 6: Final answer
    x = 68,075.74

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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.