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Finding the Third Proportional to 12,444 and 19,362

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Solution

The third proportional to 12,444 and 19,362 is: 30,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444 : 19,362 = 19,362 : x
  2. Step 2: Convert to fraction form
    12,444/19,362 = 19,362/x
  3. Step 3: Cross multiply
    12,444x = 19,362 × 19,362
  4. Step 4: Simplify right side
    12,444x = 374,887,044
  5. Step 5: Solve for x
    x = 374,887,044/12,444
  6. Step 6: Final answer
    x = 30,125.93

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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.