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Finding the Third Proportional to 24,008 and 32,968

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Solution

The third proportional to 24,008 and 32,968 is: 45,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008 : 32,968 = 32,968 : x
  2. Step 2: Convert to fraction form
    24,008/32,968 = 32,968/x
  3. Step 3: Cross multiply
    24,008x = 32,968 × 32,968
  4. Step 4: Simplify right side
    24,008x = 1,086,889,024
  5. Step 5: Solve for x
    x = 1,086,889,024/24,008
  6. Step 6: Final answer
    x = 45,271.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.