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Finding the Third Proportional to 12,368 and 25,556

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Solution

The third proportional to 12,368 and 25,556 is: 52,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368 : 25,556 = 25,556 : x
  2. Step 2: Convert to fraction form
    12,368/25,556 = 25,556/x
  3. Step 3: Cross multiply
    12,368x = 25,556 × 25,556
  4. Step 4: Simplify right side
    12,368x = 653,109,136
  5. Step 5: Solve for x
    x = 653,109,136/12,368
  6. Step 6: Final answer
    x = 52,806.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.