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Finding the Third Proportional to 30,503 and 44,053

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Solution

The third proportional to 30,503 and 44,053 is: 63,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503 : 44,053 = 44,053 : x
  2. Step 2: Convert to fraction form
    30,503/44,053 = 44,053/x
  3. Step 3: Cross multiply
    30,503x = 44,053 × 44,053
  4. Step 4: Simplify right side
    30,503x = 1,940,666,809
  5. Step 5: Solve for x
    x = 1,940,666,809/30,503
  6. Step 6: Final answer
    x = 63,622.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.