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Finding the Third Proportional to 12,326.50 and 26,957

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Solution

The third proportional to 12,326.50 and 26,957 is: 58,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.50 : 26,957 = 26,957 : x
  2. Step 2: Convert to fraction form
    12,326.50/26,957 = 26,957/x
  3. Step 3: Cross multiply
    12,326.50x = 26,957 × 26,957
  4. Step 4: Simplify right side
    12,326.50x = 726,679,849
  5. Step 5: Solve for x
    x = 726,679,849/12,326.50
  6. Step 6: Final answer
    x = 58,952.65

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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.