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Finding the Third Proportional to 41,026.50 and 96,592.50

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Solution

The third proportional to 41,026.50 and 96,592.50 is: 227,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,026.50 : 96,592.50 = 96,592.50 : x
  2. Step 2: Convert to fraction form
    41,026.50/96,592.50 = 96,592.50/x
  3. Step 3: Cross multiply
    41,026.50x = 96,592.50 × 96,592.50
  4. Step 4: Simplify right side
    41,026.50x = 9,330,111,056.25
  5. Step 5: Solve for x
    x = 9,330,111,056.25/41,026.50
  6. Step 6: Final answer
    x = 227,416.70

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.