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Finding the Third Proportional to 39,606 and 86,575.50

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Solution

The third proportional to 39,606 and 86,575.50 is: 189,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,606 : 86,575.50 = 86,575.50 : x
  2. Step 2: Convert to fraction form
    39,606/86,575.50 = 86,575.50/x
  3. Step 3: Cross multiply
    39,606x = 86,575.50 × 86,575.50
  4. Step 4: Simplify right side
    39,606x = 7,495,317,200.25
  5. Step 5: Solve for x
    x = 7,495,317,200.25/39,606
  6. Step 6: Final answer
    x = 189,247.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.