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Finding the Third Proportional to 42,585.75 and 66,642.75

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Solution

The third proportional to 42,585.75 and 66,642.75 is: 104,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,585.75 : 66,642.75 = 66,642.75 : x
  2. Step 2: Convert to fraction form
    42,585.75/66,642.75 = 66,642.75/x
  3. Step 3: Cross multiply
    42,585.75x = 66,642.75 × 66,642.75
  4. Step 4: Simplify right side
    42,585.75x = 4,441,256,127.56
  5. Step 5: Solve for x
    x = 4,441,256,127.56/42,585.75
  6. Step 6: Final answer
    x = 104,289.72

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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.