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Finding the Third Proportional to 50,953 and 73,391.75

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Solution

The third proportional to 50,953 and 73,391.75 is: 105,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,953 : 73,391.75 = 73,391.75 : x
  2. Step 2: Convert to fraction form
    50,953/73,391.75 = 73,391.75/x
  3. Step 3: Cross multiply
    50,953x = 73,391.75 × 73,391.75
  4. Step 4: Simplify right side
    50,953x = 5,386,348,968.06
  5. Step 5: Solve for x
    x = 5,386,348,968.06/50,953
  6. Step 6: Final answer
    x = 105,712.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.