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Finding the Third Proportional to 26,410 and 46,966

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Solution

The third proportional to 26,410 and 46,966 is: 83,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,410 : 46,966 = 46,966 : x
  2. Step 2: Convert to fraction form
    26,410/46,966 = 46,966/x
  3. Step 3: Cross multiply
    26,410x = 46,966 × 46,966
  4. Step 4: Simplify right side
    26,410x = 2,205,805,156
  5. Step 5: Solve for x
    x = 2,205,805,156/26,410
  6. Step 6: Final answer
    x = 83,521.59

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.