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Finding the Third Proportional to 42,244.50 and 65,790.75

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Solution

The third proportional to 42,244.50 and 65,790.75 is: 102,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,244.50 : 65,790.75 = 65,790.75 : x
  2. Step 2: Convert to fraction form
    42,244.50/65,790.75 = 65,790.75/x
  3. Step 3: Cross multiply
    42,244.50x = 65,790.75 × 65,790.75
  4. Step 4: Simplify right side
    42,244.50x = 4,328,422,785.56
  5. Step 5: Solve for x
    x = 4,328,422,785.56/42,244.50
  6. Step 6: Final answer
    x = 102,461.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.