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Finding the Third Proportional to 26,302.50 and 36,159

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Solution

The third proportional to 26,302.50 and 36,159 is: 49,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302.50 : 36,159 = 36,159 : x
  2. Step 2: Convert to fraction form
    26,302.50/36,159 = 36,159/x
  3. Step 3: Cross multiply
    26,302.50x = 36,159 × 36,159
  4. Step 4: Simplify right side
    26,302.50x = 1,307,473,281
  5. Step 5: Solve for x
    x = 1,307,473,281/26,302.50
  6. Step 6: Final answer
    x = 49,709.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.