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Finding the Third Proportional to 12,368 and 26,980

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Solution

The third proportional to 12,368 and 26,980 is: 58,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368 : 26,980 = 26,980 : x
  2. Step 2: Convert to fraction form
    12,368/26,980 = 26,980/x
  3. Step 3: Cross multiply
    12,368x = 26,980 × 26,980
  4. Step 4: Simplify right side
    12,368x = 727,920,400
  5. Step 5: Solve for x
    x = 727,920,400/12,368
  6. Step 6: Final answer
    x = 58,855.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.