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Finding the Third Proportional to 12,178 and 19,032

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Solution

The third proportional to 12,178 and 19,032 is: 29,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178 : 19,032 = 19,032 : x
  2. Step 2: Convert to fraction form
    12,178/19,032 = 19,032/x
  3. Step 3: Cross multiply
    12,178x = 19,032 × 19,032
  4. Step 4: Simplify right side
    12,178x = 362,217,024
  5. Step 5: Solve for x
    x = 362,217,024/12,178
  6. Step 6: Final answer
    x = 29,743.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.