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Finding the Third Proportional to 32,899.50 and 71,570.25

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Solution

The third proportional to 32,899.50 and 71,570.25 is: 155,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899.50 : 71,570.25 = 71,570.25 : x
  2. Step 2: Convert to fraction form
    32,899.50/71,570.25 = 71,570.25/x
  3. Step 3: Cross multiply
    32,899.50x = 71,570.25 × 71,570.25
  4. Step 4: Simplify right side
    32,899.50x = 5,122,300,685.06
  5. Step 5: Solve for x
    x = 5,122,300,685.06/32,899.50
  6. Step 6: Final answer
    x = 155,695.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.