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Finding the Third Proportional to 5,623.25 and 13,430.25

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Solution

The third proportional to 5,623.25 and 13,430.25 is: 32,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.25 : 13,430.25 = 13,430.25 : x
  2. Step 2: Convert to fraction form
    5,623.25/13,430.25 = 13,430.25/x
  3. Step 3: Cross multiply
    5,623.25x = 13,430.25 × 13,430.25
  4. Step 4: Simplify right side
    5,623.25x = 180,371,615.06
  5. Step 5: Solve for x
    x = 180,371,615.06/5,623.25
  6. Step 6: Final answer
    x = 32,076.04

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.