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Finding the Third Proportional to 28,608 and 59,205

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Solution

The third proportional to 28,608 and 59,205 is: 122,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,608 : 59,205 = 59,205 : x
  2. Step 2: Convert to fraction form
    28,608/59,205 = 59,205/x
  3. Step 3: Cross multiply
    28,608x = 59,205 × 59,205
  4. Step 4: Simplify right side
    28,608x = 3,505,232,025
  5. Step 5: Solve for x
    x = 3,505,232,025/28,608
  6. Step 6: Final answer
    x = 122,526.29

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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.