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Finding the Third Proportional to 35,444 and 54,680

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Solution

The third proportional to 35,444 and 54,680 is: 84,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,444 : 54,680 = 54,680 : x
  2. Step 2: Convert to fraction form
    35,444/54,680 = 54,680/x
  3. Step 3: Cross multiply
    35,444x = 54,680 × 54,680
  4. Step 4: Simplify right side
    35,444x = 2,989,902,400
  5. Step 5: Solve for x
    x = 2,989,902,400/35,444
  6. Step 6: Final answer
    x = 84,355.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.