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Finding the Third Proportional to 32,366.25 and 69,232.50

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Solution

The third proportional to 32,366.25 and 69,232.50 is: 148,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,366.25 : 69,232.50 = 69,232.50 : x
  2. Step 2: Convert to fraction form
    32,366.25/69,232.50 = 69,232.50/x
  3. Step 3: Cross multiply
    32,366.25x = 69,232.50 × 69,232.50
  4. Step 4: Simplify right side
    32,366.25x = 4,793,139,056.25
  5. Step 5: Solve for x
    x = 4,793,139,056.25/32,366.25
  6. Step 6: Final answer
    x = 148,090.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.