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Finding the Third Proportional to 12,966 and 28,442

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Solution

The third proportional to 12,966 and 28,442 is: 62,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966 : 28,442 = 28,442 : x
  2. Step 2: Convert to fraction form
    12,966/28,442 = 28,442/x
  3. Step 3: Cross multiply
    12,966x = 28,442 × 28,442
  4. Step 4: Simplify right side
    12,966x = 808,947,364
  5. Step 5: Solve for x
    x = 808,947,364/12,966
  6. Step 6: Final answer
    x = 62,389.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.