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Finding the Third Proportional to 13,820.63 and 20,800.55

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Solution

The third proportional to 13,820.63 and 20,800.55 is: 31,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.63 : 20,800.55 = 20,800.55 : x
  2. Step 2: Convert to fraction form
    13,820.63/20,800.55 = 20,800.55/x
  3. Step 3: Cross multiply
    13,820.63x = 20,800.55 × 20,800.55
  4. Step 4: Simplify right side
    13,820.63x = 432,662,750.30
  5. Step 5: Solve for x
    x = 432,662,750.30/13,820.63
  6. Step 6: Final answer
    x = 31,305.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.