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Finding the Third Proportional to 12,045 and 13,719

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Solution

The third proportional to 12,045 and 13,719 is: 15,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045 : 13,719 = 13,719 : x
  2. Step 2: Convert to fraction form
    12,045/13,719 = 13,719/x
  3. Step 3: Cross multiply
    12,045x = 13,719 × 13,719
  4. Step 4: Simplify right side
    12,045x = 188,210,961
  5. Step 5: Solve for x
    x = 188,210,961/12,045
  6. Step 6: Final answer
    x = 15,625.65

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.