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Finding the Third Proportional to 12,904 and 21,300

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Solution

The third proportional to 12,904 and 21,300 is: 35,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904 : 21,300 = 21,300 : x
  2. Step 2: Convert to fraction form
    12,904/21,300 = 21,300/x
  3. Step 3: Cross multiply
    12,904x = 21,300 × 21,300
  4. Step 4: Simplify right side
    12,904x = 453,690,000
  5. Step 5: Solve for x
    x = 453,690,000/12,904
  6. Step 6: Final answer
    x = 35,158.87

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.