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Finding the Third Proportional to 26,043 and 61,436

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Solution

The third proportional to 26,043 and 61,436 is: 144,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,043 : 61,436 = 61,436 : x
  2. Step 2: Convert to fraction form
    26,043/61,436 = 61,436/x
  3. Step 3: Cross multiply
    26,043x = 61,436 × 61,436
  4. Step 4: Simplify right side
    26,043x = 3,774,382,096
  5. Step 5: Solve for x
    x = 3,774,382,096/26,043
  6. Step 6: Final answer
    x = 144,928.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.