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Finding the Third Proportional to 12,942 and 19,362

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Solution

The third proportional to 12,942 and 19,362 is: 28,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942 : 19,362 = 19,362 : x
  2. Step 2: Convert to fraction form
    12,942/19,362 = 19,362/x
  3. Step 3: Cross multiply
    12,942x = 19,362 × 19,362
  4. Step 4: Simplify right side
    12,942x = 374,887,044
  5. Step 5: Solve for x
    x = 374,887,044/12,942
  6. Step 6: Final answer
    x = 28,966.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.