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Finding the Third Proportional to 12,572.30 and 18,641.39

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Solution

The third proportional to 12,572.30 and 18,641.39 is: 27,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.30 : 18,641.39 = 18,641.39 : x
  2. Step 2: Convert to fraction form
    12,572.30/18,641.39 = 18,641.39/x
  3. Step 3: Cross multiply
    12,572.30x = 18,641.39 × 18,641.39
  4. Step 4: Simplify right side
    12,572.30x = 347,501,444.43
  5. Step 5: Solve for x
    x = 347,501,444.43/12,572.30
  6. Step 6: Final answer
    x = 27,640.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.