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Finding the Third Proportional to 7,810 and 18,437

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Solution

The third proportional to 7,810 and 18,437 is: 43,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810 : 18,437 = 18,437 : x
  2. Step 2: Convert to fraction form
    7,810/18,437 = 18,437/x
  3. Step 3: Cross multiply
    7,810x = 18,437 × 18,437
  4. Step 4: Simplify right side
    7,810x = 339,922,969
  5. Step 5: Solve for x
    x = 339,922,969/7,810
  6. Step 6: Final answer
    x = 43,524.07

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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.