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Finding the Third Proportional to 12,980 and 19,590

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Solution

The third proportional to 12,980 and 19,590 is: 29,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980 : 19,590 = 19,590 : x
  2. Step 2: Convert to fraction form
    12,980/19,590 = 19,590/x
  3. Step 3: Cross multiply
    12,980x = 19,590 × 19,590
  4. Step 4: Simplify right side
    12,980x = 383,768,100
  5. Step 5: Solve for x
    x = 383,768,100/12,980
  6. Step 6: Final answer
    x = 29,566.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.