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Finding the Third Proportional to 12,077 and 14,237

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Solution

The third proportional to 12,077 and 14,237 is: 16,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077 : 14,237 = 14,237 : x
  2. Step 2: Convert to fraction form
    12,077/14,237 = 14,237/x
  3. Step 3: Cross multiply
    12,077x = 14,237 × 14,237
  4. Step 4: Simplify right side
    12,077x = 202,692,169
  5. Step 5: Solve for x
    x = 202,692,169/12,077
  6. Step 6: Final answer
    x = 16,783.32

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.