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Finding the Third Proportional to 16,592 and 25,152

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Solution

The third proportional to 16,592 and 25,152 is: 38,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592 : 25,152 = 25,152 : x
  2. Step 2: Convert to fraction form
    16,592/25,152 = 25,152/x
  3. Step 3: Cross multiply
    16,592x = 25,152 × 25,152
  4. Step 4: Simplify right side
    16,592x = 632,623,104
  5. Step 5: Solve for x
    x = 632,623,104/16,592
  6. Step 6: Final answer
    x = 38,128.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.