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Finding the Third Proportional to 36,953.50 and 65,699

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Solution

The third proportional to 36,953.50 and 65,699 is: 116,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,953.50 : 65,699 = 65,699 : x
  2. Step 2: Convert to fraction form
    36,953.50/65,699 = 65,699/x
  3. Step 3: Cross multiply
    36,953.50x = 65,699 × 65,699
  4. Step 4: Simplify right side
    36,953.50x = 4,316,358,601
  5. Step 5: Solve for x
    x = 4,316,358,601/36,953.50
  6. Step 6: Final answer
    x = 116,805.14

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.