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Finding the Third Proportional to 47,984.50 and 74,679

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Solution

The third proportional to 47,984.50 and 74,679 is: 116,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,984.50 : 74,679 = 74,679 : x
  2. Step 2: Convert to fraction form
    47,984.50/74,679 = 74,679/x
  3. Step 3: Cross multiply
    47,984.50x = 74,679 × 74,679
  4. Step 4: Simplify right side
    47,984.50x = 5,576,953,041
  5. Step 5: Solve for x
    x = 5,576,953,041/47,984.50
  6. Step 6: Final answer
    x = 116,224.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.