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Finding the Third Proportional to 32,730.75 and 71,698.50

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Solution

The third proportional to 32,730.75 and 71,698.50 is: 157,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730.75 : 71,698.50 = 71,698.50 : x
  2. Step 2: Convert to fraction form
    32,730.75/71,698.50 = 71,698.50/x
  3. Step 3: Cross multiply
    32,730.75x = 71,698.50 × 71,698.50
  4. Step 4: Simplify right side
    32,730.75x = 5,140,674,902.25
  5. Step 5: Solve for x
    x = 5,140,674,902.25/32,730.75
  6. Step 6: Final answer
    x = 157,059.49

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