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Finding the Third Proportional to 30,464 and 41,502

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Solution

The third proportional to 30,464 and 41,502 is: 56,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464 : 41,502 = 41,502 : x
  2. Step 2: Convert to fraction form
    30,464/41,502 = 41,502/x
  3. Step 3: Cross multiply
    30,464x = 41,502 × 41,502
  4. Step 4: Simplify right side
    30,464x = 1,722,416,004
  5. Step 5: Solve for x
    x = 1,722,416,004/30,464
  6. Step 6: Final answer
    x = 56,539.39

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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.