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Finding the Third Proportional to 12,370 and 20,830

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Solution

The third proportional to 12,370 and 20,830 is: 35,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370 : 20,830 = 20,830 : x
  2. Step 2: Convert to fraction form
    12,370/20,830 = 20,830/x
  3. Step 3: Cross multiply
    12,370x = 20,830 × 20,830
  4. Step 4: Simplify right side
    12,370x = 433,888,900
  5. Step 5: Solve for x
    x = 433,888,900/12,370
  6. Step 6: Final answer
    x = 35,075.90

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.