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Finding the Third Proportional to 33,266.95 and 71,810.16

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Solution

The third proportional to 33,266.95 and 71,810.16 is: 155,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.95 : 71,810.16 = 71,810.16 : x
  2. Step 2: Convert to fraction form
    33,266.95/71,810.16 = 71,810.16/x
  3. Step 3: Cross multiply
    33,266.95x = 71,810.16 × 71,810.16
  4. Step 4: Simplify right side
    33,266.95x = 5,156,698,540.65
  5. Step 5: Solve for x
    x = 5,156,698,540.65/33,266.95
  6. Step 6: Final answer
    x = 155,009.64

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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.