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Finding the Third Proportional to 12,312 and 16,938

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Solution

The third proportional to 12,312 and 16,938 is: 23,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 16,938 = 16,938 : x
  2. Step 2: Convert to fraction form
    12,312/16,938 = 16,938/x
  3. Step 3: Cross multiply
    12,312x = 16,938 × 16,938
  4. Step 4: Simplify right side
    12,312x = 286,895,844
  5. Step 5: Solve for x
    x = 286,895,844/12,312
  6. Step 6: Final answer
    x = 23,302.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.