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Finding the Third Proportional to 48,409.50 and 72,591

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Solution

The third proportional to 48,409.50 and 72,591 is: 108,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409.50 : 72,591 = 72,591 : x
  2. Step 2: Convert to fraction form
    48,409.50/72,591 = 72,591/x
  3. Step 3: Cross multiply
    48,409.50x = 72,591 × 72,591
  4. Step 4: Simplify right side
    48,409.50x = 5,269,453,281
  5. Step 5: Solve for x
    x = 5,269,453,281/48,409.50
  6. Step 6: Final answer
    x = 108,851.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.