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Finding the Third Proportional to 12,270 and 19,511

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Solution

The third proportional to 12,270 and 19,511 is: 31,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270 : 19,511 = 19,511 : x
  2. Step 2: Convert to fraction form
    12,270/19,511 = 19,511/x
  3. Step 3: Cross multiply
    12,270x = 19,511 × 19,511
  4. Step 4: Simplify right side
    12,270x = 380,679,121
  5. Step 5: Solve for x
    x = 380,679,121/12,270
  6. Step 6: Final answer
    x = 31,025.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.