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Finding the Third Proportional to 32,400 and 70,797

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Solution

The third proportional to 32,400 and 70,797 is: 154,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400 : 70,797 = 70,797 : x
  2. Step 2: Convert to fraction form
    32,400/70,797 = 70,797/x
  3. Step 3: Cross multiply
    32,400x = 70,797 × 70,797
  4. Step 4: Simplify right side
    32,400x = 5,012,215,209
  5. Step 5: Solve for x
    x = 5,012,215,209/32,400
  6. Step 6: Final answer
    x = 154,698.00

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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.