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Finding the Third Proportional to 30,467.81 and 47,084.63

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Solution

The third proportional to 30,467.81 and 47,084.63 is: 72,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467.81 : 47,084.63 = 47,084.63 : x
  2. Step 2: Convert to fraction form
    30,467.81/47,084.63 = 47,084.63/x
  3. Step 3: Cross multiply
    30,467.81x = 47,084.63 × 47,084.63
  4. Step 4: Simplify right side
    30,467.81x = 2,216,961,911.39
  5. Step 5: Solve for x
    x = 2,216,961,911.39/30,467.81
  6. Step 6: Final answer
    x = 72,764.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.