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Finding the Third Proportional to 12,969 and 19,710

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Solution

The third proportional to 12,969 and 19,710 is: 29,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 19,710 = 19,710 : x
  2. Step 2: Convert to fraction form
    12,969/19,710 = 19,710/x
  3. Step 3: Cross multiply
    12,969x = 19,710 × 19,710
  4. Step 4: Simplify right side
    12,969x = 388,484,100
  5. Step 5: Solve for x
    x = 388,484,100/12,969
  6. Step 6: Final answer
    x = 29,954.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.