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Finding the Third Proportional to 7,848 and 18,468

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Solution

The third proportional to 7,848 and 18,468 is: 43,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 18,468 = 18,468 : x
  2. Step 2: Convert to fraction form
    7,848/18,468 = 18,468/x
  3. Step 3: Cross multiply
    7,848x = 18,468 × 18,468
  4. Step 4: Simplify right side
    7,848x = 341,067,024
  5. Step 5: Solve for x
    x = 341,067,024/7,848
  6. Step 6: Final answer
    x = 43,459.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.