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Finding the Third Proportional to 13,521.50 and 29,707

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Solution

The third proportional to 13,521.50 and 29,707 is: 65,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.50 : 29,707 = 29,707 : x
  2. Step 2: Convert to fraction form
    13,521.50/29,707 = 29,707/x
  3. Step 3: Cross multiply
    13,521.50x = 29,707 × 29,707
  4. Step 4: Simplify right side
    13,521.50x = 882,505,849
  5. Step 5: Solve for x
    x = 882,505,849/13,521.50
  6. Step 6: Final answer
    x = 65,266.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.