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Finding the Third Proportional to 4,786 and 9,437

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Solution

The third proportional to 4,786 and 9,437 is: 18,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786 : 9,437 = 9,437 : x
  2. Step 2: Convert to fraction form
    4,786/9,437 = 9,437/x
  3. Step 3: Cross multiply
    4,786x = 9,437 × 9,437
  4. Step 4: Simplify right side
    4,786x = 89,056,969
  5. Step 5: Solve for x
    x = 89,056,969/4,786
  6. Step 6: Final answer
    x = 18,607.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.