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Finding the Third Proportional to 41,164.88 and 63,549.56

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Solution

The third proportional to 41,164.88 and 63,549.56 is: 98,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,164.88 : 63,549.56 = 63,549.56 : x
  2. Step 2: Convert to fraction form
    41,164.88/63,549.56 = 63,549.56/x
  3. Step 3: Cross multiply
    41,164.88x = 63,549.56 × 63,549.56
  4. Step 4: Simplify right side
    41,164.88x = 4,038,546,893.94
  5. Step 5: Solve for x
    x = 4,038,546,893.94/41,164.88
  6. Step 6: Final answer
    x = 98,106.62

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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.