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Finding the Third Proportional to 42,923.67 and 65,661.89

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Solution

The third proportional to 42,923.67 and 65,661.89 is: 100,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,923.67 : 65,661.89 = 65,661.89 : x
  2. Step 2: Convert to fraction form
    42,923.67/65,661.89 = 65,661.89/x
  3. Step 3: Cross multiply
    42,923.67x = 65,661.89 × 65,661.89
  4. Step 4: Simplify right side
    42,923.67x = 4,311,483,880.45
  5. Step 5: Solve for x
    x = 4,311,483,880.45/42,923.67
  6. Step 6: Final answer
    x = 100,445.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.