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Finding the Third Proportional to 32,664.94 and 70,675.88

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Solution

The third proportional to 32,664.94 and 70,675.88 is: 152,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,664.94 : 70,675.88 = 70,675.88 : x
  2. Step 2: Convert to fraction form
    32,664.94/70,675.88 = 70,675.88/x
  3. Step 3: Cross multiply
    32,664.94x = 70,675.88 × 70,675.88
  4. Step 4: Simplify right side
    32,664.94x = 4,995,079,307.02
  5. Step 5: Solve for x
    x = 4,995,079,307.02/32,664.94
  6. Step 6: Final answer
    x = 152,918.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.