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Finding the Third Proportional to 4,570 and 6,889

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Solution

The third proportional to 4,570 and 6,889 is: 10,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570 : 6,889 = 6,889 : x
  2. Step 2: Convert to fraction form
    4,570/6,889 = 6,889/x
  3. Step 3: Cross multiply
    4,570x = 6,889 × 6,889
  4. Step 4: Simplify right side
    4,570x = 47,458,321
  5. Step 5: Solve for x
    x = 47,458,321/4,570
  6. Step 6: Final answer
    x = 10,384.75

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Why These Related Problems?

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