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Finding the Third Proportional to 16,520 and 25,510

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Solution

The third proportional to 16,520 and 25,510 is: 39,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520 : 25,510 = 25,510 : x
  2. Step 2: Convert to fraction form
    16,520/25,510 = 25,510/x
  3. Step 3: Cross multiply
    16,520x = 25,510 × 25,510
  4. Step 4: Simplify right side
    16,520x = 650,760,100
  5. Step 5: Solve for x
    x = 650,760,100/16,520
  6. Step 6: Final answer
    x = 39,392.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.