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Finding the Third Proportional to 47,000 and 70,986

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Solution

The third proportional to 47,000 and 70,986 is: 107,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000 : 70,986 = 70,986 : x
  2. Step 2: Convert to fraction form
    47,000/70,986 = 70,986/x
  3. Step 3: Cross multiply
    47,000x = 70,986 × 70,986
  4. Step 4: Simplify right side
    47,000x = 5,039,012,196
  5. Step 5: Solve for x
    x = 5,039,012,196/47,000
  6. Step 6: Final answer
    x = 107,213.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.