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Finding the Third Proportional to 45,121.50 and 66,037.50

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Solution

The third proportional to 45,121.50 and 66,037.50 is: 96,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,121.50 : 66,037.50 = 66,037.50 : x
  2. Step 2: Convert to fraction form
    45,121.50/66,037.50 = 66,037.50/x
  3. Step 3: Cross multiply
    45,121.50x = 66,037.50 × 66,037.50
  4. Step 4: Simplify right side
    45,121.50x = 4,360,951,406.25
  5. Step 5: Solve for x
    x = 4,360,951,406.25/45,121.50
  6. Step 6: Final answer
    x = 96,649.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.