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Finding the Third Proportional to 12,296 and 16,572

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Solution

The third proportional to 12,296 and 16,572 is: 22,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296 : 16,572 = 16,572 : x
  2. Step 2: Convert to fraction form
    12,296/16,572 = 16,572/x
  3. Step 3: Cross multiply
    12,296x = 16,572 × 16,572
  4. Step 4: Simplify right side
    12,296x = 274,631,184
  5. Step 5: Solve for x
    x = 274,631,184/12,296
  6. Step 6: Final answer
    x = 22,335.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.