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Finding the Third Proportional to 12,356 and 19,114

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Solution

The third proportional to 12,356 and 19,114 is: 29,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356 : 19,114 = 19,114 : x
  2. Step 2: Convert to fraction form
    12,356/19,114 = 19,114/x
  3. Step 3: Cross multiply
    12,356x = 19,114 × 19,114
  4. Step 4: Simplify right side
    12,356x = 365,344,996
  5. Step 5: Solve for x
    x = 365,344,996/12,356
  6. Step 6: Final answer
    x = 29,568.23

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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.