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Finding the Third Proportional to 26,313.50 and 34,139

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Solution

The third proportional to 26,313.50 and 34,139 is: 44,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,313.50 : 34,139 = 34,139 : x
  2. Step 2: Convert to fraction form
    26,313.50/34,139 = 34,139/x
  3. Step 3: Cross multiply
    26,313.50x = 34,139 × 34,139
  4. Step 4: Simplify right side
    26,313.50x = 1,165,471,321
  5. Step 5: Solve for x
    x = 1,165,471,321/26,313.50
  6. Step 6: Final answer
    x = 44,291.76

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.