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Finding the Third Proportional to 15,410 and 23,768

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Solution

The third proportional to 15,410 and 23,768 is: 36,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410 : 23,768 = 23,768 : x
  2. Step 2: Convert to fraction form
    15,410/23,768 = 23,768/x
  3. Step 3: Cross multiply
    15,410x = 23,768 × 23,768
  4. Step 4: Simplify right side
    15,410x = 564,917,824
  5. Step 5: Solve for x
    x = 564,917,824/15,410
  6. Step 6: Final answer
    x = 36,659.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.