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Finding the Third Proportional to 40,937.34 and 65,096.72

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Solution

The third proportional to 40,937.34 and 65,096.72 is: 103,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,937.34 : 65,096.72 = 65,096.72 : x
  2. Step 2: Convert to fraction form
    40,937.34/65,096.72 = 65,096.72/x
  3. Step 3: Cross multiply
    40,937.34x = 65,096.72 × 65,096.72
  4. Step 4: Simplify right side
    40,937.34x = 4,237,582,792.02
  5. Step 5: Solve for x
    x = 4,237,582,792.02/40,937.34
  6. Step 6: Final answer
    x = 103,513.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.