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Finding the Third Proportional to 4,580 and 6,958

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Solution

The third proportional to 4,580 and 6,958 is: 10,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580 : 6,958 = 6,958 : x
  2. Step 2: Convert to fraction form
    4,580/6,958 = 6,958/x
  3. Step 3: Cross multiply
    4,580x = 6,958 × 6,958
  4. Step 4: Simplify right side
    4,580x = 48,413,764
  5. Step 5: Solve for x
    x = 48,413,764/4,580
  6. Step 6: Final answer
    x = 10,570.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.