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Finding the Third Proportional to 14,772 and 23,778

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Solution

The third proportional to 14,772 and 23,778 is: 38,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772 : 23,778 = 23,778 : x
  2. Step 2: Convert to fraction form
    14,772/23,778 = 23,778/x
  3. Step 3: Cross multiply
    14,772x = 23,778 × 23,778
  4. Step 4: Simplify right side
    14,772x = 565,393,284
  5. Step 5: Solve for x
    x = 565,393,284/14,772
  6. Step 6: Final answer
    x = 38,274.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.