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Finding the Third Proportional to 7,816 and 18,430

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Solution

The third proportional to 7,816 and 18,430 is: 43,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816 : 18,430 = 18,430 : x
  2. Step 2: Convert to fraction form
    7,816/18,430 = 18,430/x
  3. Step 3: Cross multiply
    7,816x = 18,430 × 18,430
  4. Step 4: Simplify right side
    7,816x = 339,664,900
  5. Step 5: Solve for x
    x = 339,664,900/7,816
  6. Step 6: Final answer
    x = 43,457.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.