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Finding the Third Proportional to 16,856.44 and 23,973.19

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Solution

The third proportional to 16,856.44 and 23,973.19 is: 34,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.44 : 23,973.19 = 23,973.19 : x
  2. Step 2: Convert to fraction form
    16,856.44/23,973.19 = 23,973.19/x
  3. Step 3: Cross multiply
    16,856.44x = 23,973.19 × 23,973.19
  4. Step 4: Simplify right side
    16,856.44x = 574,713,718.91
  5. Step 5: Solve for x
    x = 574,713,718.91/16,856.44
  6. Step 6: Final answer
    x = 34,094.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.