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Finding the Third Proportional to 32,962.50 and 71,390.25

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Solution

The third proportional to 32,962.50 and 71,390.25 is: 154,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.50 : 71,390.25 = 71,390.25 : x
  2. Step 2: Convert to fraction form
    32,962.50/71,390.25 = 71,390.25/x
  3. Step 3: Cross multiply
    32,962.50x = 71,390.25 × 71,390.25
  4. Step 4: Simplify right side
    32,962.50x = 5,096,567,795.06
  5. Step 5: Solve for x
    x = 5,096,567,795.06/32,962.50
  6. Step 6: Final answer
    x = 154,617.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.