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Finding the Third Proportional to 28,664 and 59,164

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Solution

The third proportional to 28,664 and 59,164 is: 122,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,664 : 59,164 = 59,164 : x
  2. Step 2: Convert to fraction form
    28,664/59,164 = 59,164/x
  3. Step 3: Cross multiply
    28,664x = 59,164 × 59,164
  4. Step 4: Simplify right side
    28,664x = 3,500,378,896
  5. Step 5: Solve for x
    x = 3,500,378,896/28,664
  6. Step 6: Final answer
    x = 122,117.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.