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Finding the Third Proportional to 15,141.09 and 32,596.59

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Solution

The third proportional to 15,141.09 and 32,596.59 is: 70,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.09 : 32,596.59 = 32,596.59 : x
  2. Step 2: Convert to fraction form
    15,141.09/32,596.59 = 32,596.59/x
  3. Step 3: Cross multiply
    15,141.09x = 32,596.59 × 32,596.59
  4. Step 4: Simplify right side
    15,141.09x = 1,062,537,924.10
  5. Step 5: Solve for x
    x = 1,062,537,924.10/15,141.09
  6. Step 6: Final answer
    x = 70,175.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.