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Finding the Third Proportional to 13,176 and 19,712

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Solution

The third proportional to 13,176 and 19,712 is: 29,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176 : 19,712 = 19,712 : x
  2. Step 2: Convert to fraction form
    13,176/19,712 = 19,712/x
  3. Step 3: Cross multiply
    13,176x = 19,712 × 19,712
  4. Step 4: Simplify right side
    13,176x = 388,562,944
  5. Step 5: Solve for x
    x = 388,562,944/13,176
  6. Step 6: Final answer
    x = 29,490.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.