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Finding the Third Proportional to 15,777 and 23,706

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Solution

The third proportional to 15,777 and 23,706 is: 35,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 23,706 = 23,706 : x
  2. Step 2: Convert to fraction form
    15,777/23,706 = 23,706/x
  3. Step 3: Cross multiply
    15,777x = 23,706 × 23,706
  4. Step 4: Simplify right side
    15,777x = 561,974,436
  5. Step 5: Solve for x
    x = 561,974,436/15,777
  6. Step 6: Final answer
    x = 35,619.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.