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Finding the Third Proportional to 20,657 and 30,935

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Solution

The third proportional to 20,657 and 30,935 is: 46,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657 : 30,935 = 30,935 : x
  2. Step 2: Convert to fraction form
    20,657/30,935 = 30,935/x
  3. Step 3: Cross multiply
    20,657x = 30,935 × 30,935
  4. Step 4: Simplify right side
    20,657x = 956,974,225
  5. Step 5: Solve for x
    x = 956,974,225/20,657
  6. Step 6: Final answer
    x = 46,326.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.