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Finding the Third Proportional to 4,686 and 5,070

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Solution

The third proportional to 4,686 and 5,070 is: 5,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686 : 5,070 = 5,070 : x
  2. Step 2: Convert to fraction form
    4,686/5,070 = 5,070/x
  3. Step 3: Cross multiply
    4,686x = 5,070 × 5,070
  4. Step 4: Simplify right side
    4,686x = 25,704,900
  5. Step 5: Solve for x
    x = 25,704,900/4,686
  6. Step 6: Final answer
    x = 5,485.47

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.