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Finding the Third Proportional to 50,464 and 72,415.50

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Solution

The third proportional to 50,464 and 72,415.50 is: 103,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,464 : 72,415.50 = 72,415.50 : x
  2. Step 2: Convert to fraction form
    50,464/72,415.50 = 72,415.50/x
  3. Step 3: Cross multiply
    50,464x = 72,415.50 × 72,415.50
  4. Step 4: Simplify right side
    50,464x = 5,244,004,640.25
  5. Step 5: Solve for x
    x = 5,244,004,640.25/50,464
  6. Step 6: Final answer
    x = 103,915.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.