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Finding the Third Proportional to 18,114.75 and 29,785.50

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Solution

The third proportional to 18,114.75 and 29,785.50 is: 48,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114.75 : 29,785.50 = 29,785.50 : x
  2. Step 2: Convert to fraction form
    18,114.75/29,785.50 = 29,785.50/x
  3. Step 3: Cross multiply
    18,114.75x = 29,785.50 × 29,785.50
  4. Step 4: Simplify right side
    18,114.75x = 887,176,010.25
  5. Step 5: Solve for x
    x = 887,176,010.25/18,114.75
  6. Step 6: Final answer
    x = 48,975.34

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.