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Finding the Third Proportional to 17,246.50 and 26,371

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Solution

The third proportional to 17,246.50 and 26,371 is: 40,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,246.50 : 26,371 = 26,371 : x
  2. Step 2: Convert to fraction form
    17,246.50/26,371 = 26,371/x
  3. Step 3: Cross multiply
    17,246.50x = 26,371 × 26,371
  4. Step 4: Simplify right side
    17,246.50x = 695,429,641
  5. Step 5: Solve for x
    x = 695,429,641/17,246.50
  6. Step 6: Final answer
    x = 40,322.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.