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Finding the Third Proportional to 17,000.50 and 26,389

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Solution

The third proportional to 17,000.50 and 26,389 is: 40,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.50 : 26,389 = 26,389 : x
  2. Step 2: Convert to fraction form
    17,000.50/26,389 = 26,389/x
  3. Step 3: Cross multiply
    17,000.50x = 26,389 × 26,389
  4. Step 4: Simplify right side
    17,000.50x = 696,379,321
  5. Step 5: Solve for x
    x = 696,379,321/17,000.50
  6. Step 6: Final answer
    x = 40,962.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.