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Finding the Third Proportional to 19,500.75 and 32,941.69

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Solution

The third proportional to 19,500.75 and 32,941.69 is: 55,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500.75 : 32,941.69 = 32,941.69 : x
  2. Step 2: Convert to fraction form
    19,500.75/32,941.69 = 32,941.69/x
  3. Step 3: Cross multiply
    19,500.75x = 32,941.69 × 32,941.69
  4. Step 4: Simplify right side
    19,500.75x = 1,085,154,775.35
  5. Step 5: Solve for x
    x = 1,085,154,775.35/19,500.75
  6. Step 6: Final answer
    x = 55,646.82

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.