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Finding the Third Proportional to 41,009.63 and 89,430.75

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Solution

The third proportional to 41,009.63 and 89,430.75 is: 195,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,009.63 : 89,430.75 = 89,430.75 : x
  2. Step 2: Convert to fraction form
    41,009.63/89,430.75 = 89,430.75/x
  3. Step 3: Cross multiply
    41,009.63x = 89,430.75 × 89,430.75
  4. Step 4: Simplify right side
    41,009.63x = 7,997,859,045.56
  5. Step 5: Solve for x
    x = 7,997,859,045.56/41,009.63
  6. Step 6: Final answer
    x = 195,023.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.