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Finding the Third Proportional to 13,047.75 and 23,502.75

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Solution

The third proportional to 13,047.75 and 23,502.75 is: 42,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.75 : 23,502.75 = 23,502.75 : x
  2. Step 2: Convert to fraction form
    13,047.75/23,502.75 = 23,502.75/x
  3. Step 3: Cross multiply
    13,047.75x = 23,502.75 × 23,502.75
  4. Step 4: Simplify right side
    13,047.75x = 552,379,257.56
  5. Step 5: Solve for x
    x = 552,379,257.56/13,047.75
  6. Step 6: Final answer
    x = 42,335.21

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.