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Finding the Third Proportional to 12,043 and 26,419

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Solution

The third proportional to 12,043 and 26,419 is: 57,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043 : 26,419 = 26,419 : x
  2. Step 2: Convert to fraction form
    12,043/26,419 = 26,419/x
  3. Step 3: Cross multiply
    12,043x = 26,419 × 26,419
  4. Step 4: Simplify right side
    12,043x = 697,963,561
  5. Step 5: Solve for x
    x = 697,963,561/12,043
  6. Step 6: Final answer
    x = 57,955.95

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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.