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Finding the Third Proportional to 28,395 and 59,117

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Solution

The third proportional to 28,395 and 59,117 is: 123,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,395 : 59,117 = 59,117 : x
  2. Step 2: Convert to fraction form
    28,395/59,117 = 59,117/x
  3. Step 3: Cross multiply
    28,395x = 59,117 × 59,117
  4. Step 4: Simplify right side
    28,395x = 3,494,819,689
  5. Step 5: Solve for x
    x = 3,494,819,689/28,395
  6. Step 6: Final answer
    x = 123,078.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.