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Finding the Third Proportional to 30,649.50 and 65,673

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Solution

The third proportional to 30,649.50 and 65,673 is: 140,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.50 : 65,673 = 65,673 : x
  2. Step 2: Convert to fraction form
    30,649.50/65,673 = 65,673/x
  3. Step 3: Cross multiply
    30,649.50x = 65,673 × 65,673
  4. Step 4: Simplify right side
    30,649.50x = 4,312,942,929
  5. Step 5: Solve for x
    x = 4,312,942,929/30,649.50
  6. Step 6: Final answer
    x = 140,718.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.