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Finding the Third Proportional to 16,439.50 and 23,507.50

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Solution

The third proportional to 16,439.50 and 23,507.50 is: 33,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.50 : 23,507.50 = 23,507.50 : x
  2. Step 2: Convert to fraction form
    16,439.50/23,507.50 = 23,507.50/x
  3. Step 3: Cross multiply
    16,439.50x = 23,507.50 × 23,507.50
  4. Step 4: Simplify right side
    16,439.50x = 552,602,556.25
  5. Step 5: Solve for x
    x = 552,602,556.25/16,439.50
  6. Step 6: Final answer
    x = 33,614.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.