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Finding the Third Proportional to 30,853 and 41,808

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Solution

The third proportional to 30,853 and 41,808 is: 56,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853 : 41,808 = 41,808 : x
  2. Step 2: Convert to fraction form
    30,853/41,808 = 41,808/x
  3. Step 3: Cross multiply
    30,853x = 41,808 × 41,808
  4. Step 4: Simplify right side
    30,853x = 1,747,908,864
  5. Step 5: Solve for x
    x = 1,747,908,864/30,853
  6. Step 6: Final answer
    x = 56,652.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.