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Finding the Third Proportional to 15,957 and 34,938

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Solution

The third proportional to 15,957 and 34,938 is: 76,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 34,938 = 34,938 : x
  2. Step 2: Convert to fraction form
    15,957/34,938 = 34,938/x
  3. Step 3: Cross multiply
    15,957x = 34,938 × 34,938
  4. Step 4: Simplify right side
    15,957x = 1,220,663,844
  5. Step 5: Solve for x
    x = 1,220,663,844/15,957
  6. Step 6: Final answer
    x = 76,497.08

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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.