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Finding the Third Proportional to 13,764.94 and 36,627.19

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Solution

The third proportional to 13,764.94 and 36,627.19 is: 97,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.94 : 36,627.19 = 36,627.19 : x
  2. Step 2: Convert to fraction form
    13,764.94/36,627.19 = 36,627.19/x
  3. Step 3: Cross multiply
    13,764.94x = 36,627.19 × 36,627.19
  4. Step 4: Simplify right side
    13,764.94x = 1,341,550,864.16
  5. Step 5: Solve for x
    x = 1,341,550,864.16/13,764.94
  6. Step 6: Final answer
    x = 97,461.46

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.