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Finding the Third Proportional to 28,559 and 63,235

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Solution

The third proportional to 28,559 and 63,235 is: 140,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,559 : 63,235 = 63,235 : x
  2. Step 2: Convert to fraction form
    28,559/63,235 = 63,235/x
  3. Step 3: Cross multiply
    28,559x = 63,235 × 63,235
  4. Step 4: Simplify right side
    28,559x = 3,998,665,225
  5. Step 5: Solve for x
    x = 3,998,665,225/28,559
  6. Step 6: Final answer
    x = 140,014.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.