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Finding the Third Proportional to 50,302.75 and 70,503.75

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Solution

The third proportional to 50,302.75 and 70,503.75 is: 98,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,302.75 : 70,503.75 = 70,503.75 : x
  2. Step 2: Convert to fraction form
    50,302.75/70,503.75 = 70,503.75/x
  3. Step 3: Cross multiply
    50,302.75x = 70,503.75 × 70,503.75
  4. Step 4: Simplify right side
    50,302.75x = 4,970,778,764.06
  5. Step 5: Solve for x
    x = 4,970,778,764.06/50,302.75
  6. Step 6: Final answer
    x = 98,817.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.