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Finding the Third Proportional to 12,315 and 26,938

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Solution

The third proportional to 12,315 and 26,938 is: 58,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315 : 26,938 = 26,938 : x
  2. Step 2: Convert to fraction form
    12,315/26,938 = 26,938/x
  3. Step 3: Cross multiply
    12,315x = 26,938 × 26,938
  4. Step 4: Simplify right side
    12,315x = 725,655,844
  5. Step 5: Solve for x
    x = 725,655,844/12,315
  6. Step 6: Final answer
    x = 58,924.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.