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Finding the Third Proportional to 947 and 1,576.50

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Solution

The third proportional to 947 and 1,576.50 is: 2,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,576.50 = 1,576.50 : x
  2. Step 2: Convert to fraction form
    947/1,576.50 = 1,576.50/x
  3. Step 3: Cross multiply
    947x = 1,576.50 × 1,576.50
  4. Step 4: Simplify right side
    947x = 2,485,352.25
  5. Step 5: Solve for x
    x = 2,485,352.25/947
  6. Step 6: Final answer
    x = 2,624.45

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.