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Finding the Third Proportional to 12,524.63 and 19,389.38

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Solution

The third proportional to 12,524.63 and 19,389.38 is: 30,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.63 : 19,389.38 = 19,389.38 : x
  2. Step 2: Convert to fraction form
    12,524.63/19,389.38 = 19,389.38/x
  3. Step 3: Cross multiply
    12,524.63x = 19,389.38 × 19,389.38
  4. Step 4: Simplify right side
    12,524.63x = 375,947,862.89
  5. Step 5: Solve for x
    x = 375,947,862.89/12,524.63
  6. Step 6: Final answer
    x = 30,016.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.