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Finding the Third Proportional to 12,294 and 19,230

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Solution

The third proportional to 12,294 and 19,230 is: 30,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294 : 19,230 = 19,230 : x
  2. Step 2: Convert to fraction form
    12,294/19,230 = 19,230/x
  3. Step 3: Cross multiply
    12,294x = 19,230 × 19,230
  4. Step 4: Simplify right side
    12,294x = 369,792,900
  5. Step 5: Solve for x
    x = 369,792,900/12,294
  6. Step 6: Final answer
    x = 30,079.14

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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.