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Finding the Third Proportional to 13,911.40 and 32,806.38

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Solution

The third proportional to 13,911.40 and 32,806.38 is: 77,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.40 : 32,806.38 = 32,806.38 : x
  2. Step 2: Convert to fraction form
    13,911.40/32,806.38 = 32,806.38/x
  3. Step 3: Cross multiply
    13,911.40x = 32,806.38 × 32,806.38
  4. Step 4: Simplify right side
    13,911.40x = 1,076,258,753.24
  5. Step 5: Solve for x
    x = 1,076,258,753.24/13,911.40
  6. Step 6: Final answer
    x = 77,365.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.