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Finding the Third Proportional to 40,924 and 60,733.50

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Solution

The third proportional to 40,924 and 60,733.50 is: 90,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,924 : 60,733.50 = 60,733.50 : x
  2. Step 2: Convert to fraction form
    40,924/60,733.50 = 60,733.50/x
  3. Step 3: Cross multiply
    40,924x = 60,733.50 × 60,733.50
  4. Step 4: Simplify right side
    40,924x = 3,688,558,022.25
  5. Step 5: Solve for x
    x = 3,688,558,022.25/40,924
  6. Step 6: Final answer
    x = 90,131.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.