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Finding the Third Proportional to 8,316 and 13,842

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Solution

The third proportional to 8,316 and 13,842 is: 23,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316 : 13,842 = 13,842 : x
  2. Step 2: Convert to fraction form
    8,316/13,842 = 13,842/x
  3. Step 3: Cross multiply
    8,316x = 13,842 × 13,842
  4. Step 4: Simplify right side
    8,316x = 191,600,964
  5. Step 5: Solve for x
    x = 191,600,964/8,316
  6. Step 6: Final answer
    x = 23,040.04

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.