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Finding the Third Proportional to 16,512 and 25,545

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Solution

The third proportional to 16,512 and 25,545 is: 39,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512 : 25,545 = 25,545 : x
  2. Step 2: Convert to fraction form
    16,512/25,545 = 25,545/x
  3. Step 3: Cross multiply
    16,512x = 25,545 × 25,545
  4. Step 4: Simplify right side
    16,512x = 652,547,025
  5. Step 5: Solve for x
    x = 652,547,025/16,512
  6. Step 6: Final answer
    x = 39,519.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.