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Finding the Third Proportional to 13,767 and 15,043

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Solution

The third proportional to 13,767 and 15,043 is: 16,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767 : 15,043 = 15,043 : x
  2. Step 2: Convert to fraction form
    13,767/15,043 = 15,043/x
  3. Step 3: Cross multiply
    13,767x = 15,043 × 15,043
  4. Step 4: Simplify right side
    13,767x = 226,291,849
  5. Step 5: Solve for x
    x = 226,291,849/13,767
  6. Step 6: Final answer
    x = 16,437.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.