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Finding the Third Proportional to 13,101 and 26,806.50

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Solution

The third proportional to 13,101 and 26,806.50 is: 54,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101 : 26,806.50 = 26,806.50 : x
  2. Step 2: Convert to fraction form
    13,101/26,806.50 = 26,806.50/x
  3. Step 3: Cross multiply
    13,101x = 26,806.50 × 26,806.50
  4. Step 4: Simplify right side
    13,101x = 718,588,442.25
  5. Step 5: Solve for x
    x = 718,588,442.25/13,101
  6. Step 6: Final answer
    x = 54,849.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.