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Finding the Third Proportional to 16,018.07 and 23,894.68

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Solution

The third proportional to 16,018.07 and 23,894.68 is: 35,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018.07 : 23,894.68 = 23,894.68 : x
  2. Step 2: Convert to fraction form
    16,018.07/23,894.68 = 23,894.68/x
  3. Step 3: Cross multiply
    16,018.07x = 23,894.68 × 23,894.68
  4. Step 4: Simplify right side
    16,018.07x = 570,955,904.05
  5. Step 5: Solve for x
    x = 570,955,904.05/16,018.07
  6. Step 6: Final answer
    x = 35,644.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.