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Finding the Third Proportional to 31,968 and 48,395

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Solution

The third proportional to 31,968 and 48,395 is: 73,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968 : 48,395 = 48,395 : x
  2. Step 2: Convert to fraction form
    31,968/48,395 = 48,395/x
  3. Step 3: Cross multiply
    31,968x = 48,395 × 48,395
  4. Step 4: Simplify right side
    31,968x = 2,342,076,025
  5. Step 5: Solve for x
    x = 2,342,076,025/31,968
  6. Step 6: Final answer
    x = 73,263.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.