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Finding the Third Proportional to 43,770.38 and 65,655.56

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Solution

The third proportional to 43,770.38 and 65,655.56 is: 98,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,770.38 : 65,655.56 = 65,655.56 : x
  2. Step 2: Convert to fraction form
    43,770.38/65,655.56 = 65,655.56/x
  3. Step 3: Cross multiply
    43,770.38x = 65,655.56 × 65,655.56
  4. Step 4: Simplify right side
    43,770.38x = 4,310,652,887.19
  5. Step 5: Solve for x
    x = 4,310,652,887.19/43,770.38
  6. Step 6: Final answer
    x = 98,483.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.