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Finding the Third Proportional to 31,957 and 48,056

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Solution

The third proportional to 31,957 and 48,056 is: 72,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957 : 48,056 = 48,056 : x
  2. Step 2: Convert to fraction form
    31,957/48,056 = 48,056/x
  3. Step 3: Cross multiply
    31,957x = 48,056 × 48,056
  4. Step 4: Simplify right side
    31,957x = 2,309,379,136
  5. Step 5: Solve for x
    x = 2,309,379,136/31,957
  6. Step 6: Final answer
    x = 72,265.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.