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Finding the Third Proportional to 14,778 and 23,706

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Solution

The third proportional to 14,778 and 23,706 is: 38,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778 : 23,706 = 23,706 : x
  2. Step 2: Convert to fraction form
    14,778/23,706 = 23,706/x
  3. Step 3: Cross multiply
    14,778x = 23,706 × 23,706
  4. Step 4: Simplify right side
    14,778x = 561,974,436
  5. Step 5: Solve for x
    x = 561,974,436/14,778
  6. Step 6: Final answer
    x = 38,027.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.