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Finding the Third Proportional to 26,346 and 58,236

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Solution

The third proportional to 26,346 and 58,236 is: 128,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,346 : 58,236 = 58,236 : x
  2. Step 2: Convert to fraction form
    26,346/58,236 = 58,236/x
  3. Step 3: Cross multiply
    26,346x = 58,236 × 58,236
  4. Step 4: Simplify right side
    26,346x = 3,391,431,696
  5. Step 5: Solve for x
    x = 3,391,431,696/26,346
  6. Step 6: Final answer
    x = 128,726.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.