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Finding the Third Proportional to 12,983.50 and 19,040

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Solution

The third proportional to 12,983.50 and 19,040 is: 27,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.50 : 19,040 = 19,040 : x
  2. Step 2: Convert to fraction form
    12,983.50/19,040 = 19,040/x
  3. Step 3: Cross multiply
    12,983.50x = 19,040 × 19,040
  4. Step 4: Simplify right side
    12,983.50x = 362,521,600
  5. Step 5: Solve for x
    x = 362,521,600/12,983.50
  6. Step 6: Final answer
    x = 27,921.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.