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Finding the Third Proportional to 30,556 and 43,594

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Solution

The third proportional to 30,556 and 43,594 is: 62,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556 : 43,594 = 43,594 : x
  2. Step 2: Convert to fraction form
    30,556/43,594 = 43,594/x
  3. Step 3: Cross multiply
    30,556x = 43,594 × 43,594
  4. Step 4: Simplify right side
    30,556x = 1,900,436,836
  5. Step 5: Solve for x
    x = 1,900,436,836/30,556
  6. Step 6: Final answer
    x = 62,195.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.