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Finding the Third Proportional to 53,830.50 and 73,894.50

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Solution

The third proportional to 53,830.50 and 73,894.50 is: 101,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.50 : 73,894.50 = 73,894.50 : x
  2. Step 2: Convert to fraction form
    53,830.50/73,894.50 = 73,894.50/x
  3. Step 3: Cross multiply
    53,830.50x = 73,894.50 × 73,894.50
  4. Step 4: Simplify right side
    53,830.50x = 5,460,397,130.25
  5. Step 5: Solve for x
    x = 5,460,397,130.25/53,830.50
  6. Step 6: Final answer
    x = 101,436.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.