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Finding the Third Proportional to 10,011.50 and 26,935

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Solution

The third proportional to 10,011.50 and 26,935 is: 72,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.50 : 26,935 = 26,935 : x
  2. Step 2: Convert to fraction form
    10,011.50/26,935 = 26,935/x
  3. Step 3: Cross multiply
    10,011.50x = 26,935 × 26,935
  4. Step 4: Simplify right side
    10,011.50x = 725,494,225
  5. Step 5: Solve for x
    x = 725,494,225/10,011.50
  6. Step 6: Final answer
    x = 72,466.09

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.