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Finding the Third Proportional to 13,848.75 and 32,505.75

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Solution

The third proportional to 13,848.75 and 32,505.75 is: 76,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.75 : 32,505.75 = 32,505.75 : x
  2. Step 2: Convert to fraction form
    13,848.75/32,505.75 = 32,505.75/x
  3. Step 3: Cross multiply
    13,848.75x = 32,505.75 × 32,505.75
  4. Step 4: Simplify right side
    13,848.75x = 1,056,623,783.06
  5. Step 5: Solve for x
    x = 1,056,623,783.06/13,848.75
  6. Step 6: Final answer
    x = 76,297.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.