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Finding the Third Proportional to 12,364 and 23,018

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Solution

The third proportional to 12,364 and 23,018 is: 42,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364 : 23,018 = 23,018 : x
  2. Step 2: Convert to fraction form
    12,364/23,018 = 23,018/x
  3. Step 3: Cross multiply
    12,364x = 23,018 × 23,018
  4. Step 4: Simplify right side
    12,364x = 529,828,324
  5. Step 5: Solve for x
    x = 529,828,324/12,364
  6. Step 6: Final answer
    x = 42,852.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.