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Finding the Third Proportional to 12,582 and 26,028

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Solution

The third proportional to 12,582 and 26,028 is: 53,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 26,028 = 26,028 : x
  2. Step 2: Convert to fraction form
    12,582/26,028 = 26,028/x
  3. Step 3: Cross multiply
    12,582x = 26,028 × 26,028
  4. Step 4: Simplify right side
    12,582x = 677,456,784
  5. Step 5: Solve for x
    x = 677,456,784/12,582
  6. Step 6: Final answer
    x = 53,843.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.