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Finding the Third Proportional to 42,593.50 and 66,820.75

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Solution

The third proportional to 42,593.50 and 66,820.75 is: 104,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,593.50 : 66,820.75 = 66,820.75 : x
  2. Step 2: Convert to fraction form
    42,593.50/66,820.75 = 66,820.75/x
  3. Step 3: Cross multiply
    42,593.50x = 66,820.75 × 66,820.75
  4. Step 4: Simplify right side
    42,593.50x = 4,465,012,630.56
  5. Step 5: Solve for x
    x = 4,465,012,630.56/42,593.50
  6. Step 6: Final answer
    x = 104,828.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.