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Finding the Third Proportional to 42,628.22 and 66,675.94

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Solution

The third proportional to 42,628.22 and 66,675.94 is: 104,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,628.22 : 66,675.94 = 66,675.94 : x
  2. Step 2: Convert to fraction form
    42,628.22/66,675.94 = 66,675.94/x
  3. Step 3: Cross multiply
    42,628.22x = 66,675.94 × 66,675.94
  4. Step 4: Simplify right side
    42,628.22x = 4,445,680,641.50
  5. Step 5: Solve for x
    x = 4,445,680,641.50/42,628.22
  6. Step 6: Final answer
    x = 104,289.62

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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.