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Finding the Third Proportional to 4,896 and 7,778

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Solution

The third proportional to 4,896 and 7,778 is: 12,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 7,778 = 7,778 : x
  2. Step 2: Convert to fraction form
    4,896/7,778 = 7,778/x
  3. Step 3: Cross multiply
    4,896x = 7,778 × 7,778
  4. Step 4: Simplify right side
    4,896x = 60,497,284
  5. Step 5: Solve for x
    x = 60,497,284/4,896
  6. Step 6: Final answer
    x = 12,356.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.