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Finding the Third Proportional to 12,548 and 16,796

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Solution

The third proportional to 12,548 and 16,796 is: 22,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548 : 16,796 = 16,796 : x
  2. Step 2: Convert to fraction form
    12,548/16,796 = 16,796/x
  3. Step 3: Cross multiply
    12,548x = 16,796 × 16,796
  4. Step 4: Simplify right side
    12,548x = 282,105,616
  5. Step 5: Solve for x
    x = 282,105,616/12,548
  6. Step 6: Final answer
    x = 22,482.12

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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.