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Finding the Third Proportional to 32,597.25 and 78,501.75

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Solution

The third proportional to 32,597.25 and 78,501.75 is: 189,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.25 : 78,501.75 = 78,501.75 : x
  2. Step 2: Convert to fraction form
    32,597.25/78,501.75 = 78,501.75/x
  3. Step 3: Cross multiply
    32,597.25x = 78,501.75 × 78,501.75
  4. Step 4: Simplify right side
    32,597.25x = 6,162,524,753.06
  5. Step 5: Solve for x
    x = 6,162,524,753.06/32,597.25
  6. Step 6: Final answer
    x = 189,050.45

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.