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Finding the Third Proportional to 31,946 and 48,365

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Solution

The third proportional to 31,946 and 48,365 is: 73,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,946 : 48,365 = 48,365 : x
  2. Step 2: Convert to fraction form
    31,946/48,365 = 48,365/x
  3. Step 3: Cross multiply
    31,946x = 48,365 × 48,365
  4. Step 4: Simplify right side
    31,946x = 2,339,173,225
  5. Step 5: Solve for x
    x = 2,339,173,225/31,946
  6. Step 6: Final answer
    x = 73,222.73

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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.