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Finding the Third Proportional to 35,842.50 and 73,689.75

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Solution

The third proportional to 35,842.50 and 73,689.75 is: 151,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.50 : 73,689.75 = 73,689.75 : x
  2. Step 2: Convert to fraction form
    35,842.50/73,689.75 = 73,689.75/x
  3. Step 3: Cross multiply
    35,842.50x = 73,689.75 × 73,689.75
  4. Step 4: Simplify right side
    35,842.50x = 5,430,179,255.06
  5. Step 5: Solve for x
    x = 5,430,179,255.06/35,842.50
  6. Step 6: Final answer
    x = 151,501.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.