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Finding the Third Proportional to 12,154 and 19,040

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Solution

The third proportional to 12,154 and 19,040 is: 29,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154 : 19,040 = 19,040 : x
  2. Step 2: Convert to fraction form
    12,154/19,040 = 19,040/x
  3. Step 3: Cross multiply
    12,154x = 19,040 × 19,040
  4. Step 4: Simplify right side
    12,154x = 362,521,600
  5. Step 5: Solve for x
    x = 362,521,600/12,154
  6. Step 6: Final answer
    x = 29,827.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.