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Finding the Third Proportional to 40,698.75 and 61,005

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Solution

The third proportional to 40,698.75 and 61,005 is: 91,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698.75 : 61,005 = 61,005 : x
  2. Step 2: Convert to fraction form
    40,698.75/61,005 = 61,005/x
  3. Step 3: Cross multiply
    40,698.75x = 61,005 × 61,005
  4. Step 4: Simplify right side
    40,698.75x = 3,721,610,025
  5. Step 5: Solve for x
    x = 3,721,610,025/40,698.75
  6. Step 6: Final answer
    x = 91,442.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.