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Finding the Third Proportional to 47,084.63 and 69,812.44

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Solution

The third proportional to 47,084.63 and 69,812.44 is: 103,511.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,084.63 : 69,812.44 = 69,812.44 : x
  2. Step 2: Convert to fraction form
    47,084.63/69,812.44 = 69,812.44/x
  3. Step 3: Cross multiply
    47,084.63x = 69,812.44 × 69,812.44
  4. Step 4: Simplify right side
    47,084.63x = 4,873,776,429.69
  5. Step 5: Solve for x
    x = 4,873,776,429.69/47,084.63
  6. Step 6: Final answer
    x = 103,511.00

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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.