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Finding the Third Proportional to 32,891.84 and 71,045.23

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Solution

The third proportional to 32,891.84 and 71,045.23 is: 153,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.84 : 71,045.23 = 71,045.23 : x
  2. Step 2: Convert to fraction form
    32,891.84/71,045.23 = 71,045.23/x
  3. Step 3: Cross multiply
    32,891.84x = 71,045.23 × 71,045.23
  4. Step 4: Simplify right side
    32,891.84x = 5,047,424,217.32
  5. Step 5: Solve for x
    x = 5,047,424,217.32/32,891.84
  6. Step 6: Final answer
    x = 153,455.23

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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.