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Finding the Third Proportional to 6,968 and 16,430

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Solution

The third proportional to 6,968 and 16,430 is: 38,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968 : 16,430 = 16,430 : x
  2. Step 2: Convert to fraction form
    6,968/16,430 = 16,430/x
  3. Step 3: Cross multiply
    6,968x = 16,430 × 16,430
  4. Step 4: Simplify right side
    6,968x = 269,944,900
  5. Step 5: Solve for x
    x = 269,944,900/6,968
  6. Step 6: Final answer
    x = 38,740.66

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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.