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Finding the Third Proportional to 12,960 and 21,060

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Solution

The third proportional to 12,960 and 21,060 is: 34,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960 : 21,060 = 21,060 : x
  2. Step 2: Convert to fraction form
    12,960/21,060 = 21,060/x
  3. Step 3: Cross multiply
    12,960x = 21,060 × 21,060
  4. Step 4: Simplify right side
    12,960x = 443,523,600
  5. Step 5: Solve for x
    x = 443,523,600/12,960
  6. Step 6: Final answer
    x = 34,222.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.