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Finding the Third Proportional to 40,381 and 94,322.50

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Solution

The third proportional to 40,381 and 94,322.50 is: 220,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,381 : 94,322.50 = 94,322.50 : x
  2. Step 2: Convert to fraction form
    40,381/94,322.50 = 94,322.50/x
  3. Step 3: Cross multiply
    40,381x = 94,322.50 × 94,322.50
  4. Step 4: Simplify right side
    40,381x = 8,896,734,006.25
  5. Step 5: Solve for x
    x = 8,896,734,006.25/40,381
  6. Step 6: Final answer
    x = 220,319.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.