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Finding the Third Proportional to 13,205 and 28,028

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Solution

The third proportional to 13,205 and 28,028 is: 59,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205 : 28,028 = 28,028 : x
  2. Step 2: Convert to fraction form
    13,205/28,028 = 28,028/x
  3. Step 3: Cross multiply
    13,205x = 28,028 × 28,028
  4. Step 4: Simplify right side
    13,205x = 785,568,784
  5. Step 5: Solve for x
    x = 785,568,784/13,205
  6. Step 6: Final answer
    x = 59,490.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.