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Finding the Third Proportional to 6,574 and 12,842

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Solution

The third proportional to 6,574 and 12,842 is: 25,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574 : 12,842 = 12,842 : x
  2. Step 2: Convert to fraction form
    6,574/12,842 = 12,842/x
  3. Step 3: Cross multiply
    6,574x = 12,842 × 12,842
  4. Step 4: Simplify right side
    6,574x = 164,916,964
  5. Step 5: Solve for x
    x = 164,916,964/6,574
  6. Step 6: Final answer
    x = 25,086.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.