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Finding the Third Proportional to 41,577 and 64,005.75

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Solution

The third proportional to 41,577 and 64,005.75 is: 98,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,577 : 64,005.75 = 64,005.75 : x
  2. Step 2: Convert to fraction form
    41,577/64,005.75 = 64,005.75/x
  3. Step 3: Cross multiply
    41,577x = 64,005.75 × 64,005.75
  4. Step 4: Simplify right side
    41,577x = 4,096,736,033.06
  5. Step 5: Solve for x
    x = 4,096,736,033.06/41,577
  6. Step 6: Final answer
    x = 98,533.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.