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Finding the Third Proportional to 16,008 and 21,415.50

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Solution

The third proportional to 16,008 and 21,415.50 is: 28,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008 : 21,415.50 = 21,415.50 : x
  2. Step 2: Convert to fraction form
    16,008/21,415.50 = 21,415.50/x
  3. Step 3: Cross multiply
    16,008x = 21,415.50 × 21,415.50
  4. Step 4: Simplify right side
    16,008x = 458,623,640.25
  5. Step 5: Solve for x
    x = 458,623,640.25/16,008
  6. Step 6: Final answer
    x = 28,649.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.