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Finding the Third Proportional to 32,530 and 48,524.25

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Solution

The third proportional to 32,530 and 48,524.25 is: 72,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530 : 48,524.25 = 48,524.25 : x
  2. Step 2: Convert to fraction form
    32,530/48,524.25 = 48,524.25/x
  3. Step 3: Cross multiply
    32,530x = 48,524.25 × 48,524.25
  4. Step 4: Simplify right side
    32,530x = 2,354,602,838.06
  5. Step 5: Solve for x
    x = 2,354,602,838.06/32,530
  6. Step 6: Final answer
    x = 72,382.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.