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Finding the Third Proportional to 41,829.75 and 61,349.63

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Solution

The third proportional to 41,829.75 and 61,349.63 is: 89,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,829.75 : 61,349.63 = 61,349.63 : x
  2. Step 2: Convert to fraction form
    41,829.75/61,349.63 = 61,349.63/x
  3. Step 3: Cross multiply
    41,829.75x = 61,349.63 × 61,349.63
  4. Step 4: Simplify right side
    41,829.75x = 3,763,776,487.64
  5. Step 5: Solve for x
    x = 3,763,776,487.64/41,829.75
  6. Step 6: Final answer
    x = 89,978.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.