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Finding the Third Proportional to 12,960 and 16,598.25

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Solution

The third proportional to 12,960 and 16,598.25 is: 21,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960 : 16,598.25 = 16,598.25 : x
  2. Step 2: Convert to fraction form
    12,960/16,598.25 = 16,598.25/x
  3. Step 3: Cross multiply
    12,960x = 16,598.25 × 16,598.25
  4. Step 4: Simplify right side
    12,960x = 275,501,903.06
  5. Step 5: Solve for x
    x = 275,501,903.06/12,960
  6. Step 6: Final answer
    x = 21,257.86

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.