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Finding the Third Proportional to 13,820.63 and 36,009.56

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Solution

The third proportional to 13,820.63 and 36,009.56 is: 93,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.63 : 36,009.56 = 36,009.56 : x
  2. Step 2: Convert to fraction form
    13,820.63/36,009.56 = 36,009.56/x
  3. Step 3: Cross multiply
    13,820.63x = 36,009.56 × 36,009.56
  4. Step 4: Simplify right side
    13,820.63x = 1,296,688,591.44
  5. Step 5: Solve for x
    x = 1,296,688,591.44/13,820.63
  6. Step 6: Final answer
    x = 93,822.72

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.