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Finding the Third Proportional to 31,590 and 42,390

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Solution

The third proportional to 31,590 and 42,390 is: 56,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590 : 42,390 = 42,390 : x
  2. Step 2: Convert to fraction form
    31,590/42,390 = 42,390/x
  3. Step 3: Cross multiply
    31,590x = 42,390 × 42,390
  4. Step 4: Simplify right side
    31,590x = 1,796,912,100
  5. Step 5: Solve for x
    x = 1,796,912,100/31,590
  6. Step 6: Final answer
    x = 56,882.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.