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Finding the Third Proportional to 15,092.25 and 32,989.25

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Solution

The third proportional to 15,092.25 and 32,989.25 is: 72,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.25 : 32,989.25 = 32,989.25 : x
  2. Step 2: Convert to fraction form
    15,092.25/32,989.25 = 32,989.25/x
  3. Step 3: Cross multiply
    15,092.25x = 32,989.25 × 32,989.25
  4. Step 4: Simplify right side
    15,092.25x = 1,088,290,615.56
  5. Step 5: Solve for x
    x = 1,088,290,615.56/15,092.25
  6. Step 6: Final answer
    x = 72,109.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.