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Finding the Third Proportional to 7,848 and 19,044

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Solution

The third proportional to 7,848 and 19,044 is: 46,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 19,044 = 19,044 : x
  2. Step 2: Convert to fraction form
    7,848/19,044 = 19,044/x
  3. Step 3: Cross multiply
    7,848x = 19,044 × 19,044
  4. Step 4: Simplify right side
    7,848x = 362,673,936
  5. Step 5: Solve for x
    x = 362,673,936/7,848
  6. Step 6: Final answer
    x = 46,212.28

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.