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Finding the Third Proportional to 40,224 and 52,894.50

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Solution

The third proportional to 40,224 and 52,894.50 is: 69,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,224 : 52,894.50 = 52,894.50 : x
  2. Step 2: Convert to fraction form
    40,224/52,894.50 = 52,894.50/x
  3. Step 3: Cross multiply
    40,224x = 52,894.50 × 52,894.50
  4. Step 4: Simplify right side
    40,224x = 2,797,828,130.25
  5. Step 5: Solve for x
    x = 2,797,828,130.25/40,224
  6. Step 6: Final answer
    x = 69,556.19

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.