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Finding the Third Proportional to 13,389.75 and 20,432.25

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Solution

The third proportional to 13,389.75 and 20,432.25 is: 31,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389.75 : 20,432.25 = 20,432.25 : x
  2. Step 2: Convert to fraction form
    13,389.75/20,432.25 = 20,432.25/x
  3. Step 3: Cross multiply
    13,389.75x = 20,432.25 × 20,432.25
  4. Step 4: Simplify right side
    13,389.75x = 417,476,840.06
  5. Step 5: Solve for x
    x = 417,476,840.06/13,389.75
  6. Step 6: Final answer
    x = 31,178.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.