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Finding the Third Proportional to 24,705 and 36,405

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Solution

The third proportional to 24,705 and 36,405 is: 53,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705 : 36,405 = 36,405 : x
  2. Step 2: Convert to fraction form
    24,705/36,405 = 36,405/x
  3. Step 3: Cross multiply
    24,705x = 36,405 × 36,405
  4. Step 4: Simplify right side
    24,705x = 1,325,324,025
  5. Step 5: Solve for x
    x = 1,325,324,025/24,705
  6. Step 6: Final answer
    x = 53,645.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.