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Finding the Third Proportional to 13,435.88 and 31,374.84

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Solution

The third proportional to 13,435.88 and 31,374.84 is: 73,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.88 : 31,374.84 = 31,374.84 : x
  2. Step 2: Convert to fraction form
    13,435.88/31,374.84 = 31,374.84/x
  3. Step 3: Cross multiply
    13,435.88x = 31,374.84 × 31,374.84
  4. Step 4: Simplify right side
    13,435.88x = 984,380,820.34
  5. Step 5: Solve for x
    x = 984,380,820.34/13,435.88
  6. Step 6: Final answer
    x = 73,265.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.