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Finding the Third Proportional to 30,285.75 and 43,353

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Solution

The third proportional to 30,285.75 and 43,353 is: 62,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.75 : 43,353 = 43,353 : x
  2. Step 2: Convert to fraction form
    30,285.75/43,353 = 43,353/x
  3. Step 3: Cross multiply
    30,285.75x = 43,353 × 43,353
  4. Step 4: Simplify right side
    30,285.75x = 1,879,482,609
  5. Step 5: Solve for x
    x = 1,879,482,609/30,285.75
  6. Step 6: Final answer
    x = 62,058.31

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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.