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Finding the Third Proportional to 30,217.50 and 65,295

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Solution

The third proportional to 30,217.50 and 65,295 is: 141,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.50 : 65,295 = 65,295 : x
  2. Step 2: Convert to fraction form
    30,217.50/65,295 = 65,295/x
  3. Step 3: Cross multiply
    30,217.50x = 65,295 × 65,295
  4. Step 4: Simplify right side
    30,217.50x = 4,263,437,025
  5. Step 5: Solve for x
    x = 4,263,437,025/30,217.50
  6. Step 6: Final answer
    x = 141,091.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.