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Finding the Third Proportional to 30,104.50 and 44,721

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Solution

The third proportional to 30,104.50 and 44,721 is: 66,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.50 : 44,721 = 44,721 : x
  2. Step 2: Convert to fraction form
    30,104.50/44,721 = 44,721/x
  3. Step 3: Cross multiply
    30,104.50x = 44,721 × 44,721
  4. Step 4: Simplify right side
    30,104.50x = 1,999,967,841
  5. Step 5: Solve for x
    x = 1,999,967,841/30,104.50
  6. Step 6: Final answer
    x = 66,434.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.