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Finding the Third Proportional to 43,709.63 and 95,985

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Solution

The third proportional to 43,709.63 and 95,985 is: 210,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,709.63 : 95,985 = 95,985 : x
  2. Step 2: Convert to fraction form
    43,709.63/95,985 = 95,985/x
  3. Step 3: Cross multiply
    43,709.63x = 95,985 × 95,985
  4. Step 4: Simplify right side
    43,709.63x = 9,213,120,225
  5. Step 5: Solve for x
    x = 9,213,120,225/43,709.63
  6. Step 6: Final answer
    x = 210,780.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.