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Finding the Third Proportional to 42,214.50 and 69,025.50

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Solution

The third proportional to 42,214.50 and 69,025.50 is: 112,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214.50 : 69,025.50 = 69,025.50 : x
  2. Step 2: Convert to fraction form
    42,214.50/69,025.50 = 69,025.50/x
  3. Step 3: Cross multiply
    42,214.50x = 69,025.50 × 69,025.50
  4. Step 4: Simplify right side
    42,214.50x = 4,764,519,650.25
  5. Step 5: Solve for x
    x = 4,764,519,650.25/42,214.50
  6. Step 6: Final answer
    x = 112,864.53

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.