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Finding the Third Proportional to 32,409 and 70,816.50

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Solution

The third proportional to 32,409 and 70,816.50 is: 154,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409 : 70,816.50 = 70,816.50 : x
  2. Step 2: Convert to fraction form
    32,409/70,816.50 = 70,816.50/x
  3. Step 3: Cross multiply
    32,409x = 70,816.50 × 70,816.50
  4. Step 4: Simplify right side
    32,409x = 5,014,976,672.25
  5. Step 5: Solve for x
    x = 5,014,976,672.25/32,409
  6. Step 6: Final answer
    x = 154,740.25

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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.