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Finding the Third Proportional to 20,658 and 42,405

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Solution

The third proportional to 20,658 and 42,405 is: 87,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658 : 42,405 = 42,405 : x
  2. Step 2: Convert to fraction form
    20,658/42,405 = 42,405/x
  3. Step 3: Cross multiply
    20,658x = 42,405 × 42,405
  4. Step 4: Simplify right side
    20,658x = 1,798,184,025
  5. Step 5: Solve for x
    x = 1,798,184,025/20,658
  6. Step 6: Final answer
    x = 87,045.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.