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Finding the Third Proportional to 15,022.13 and 32,511.38

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Solution

The third proportional to 15,022.13 and 32,511.38 is: 70,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.13 : 32,511.38 = 32,511.38 : x
  2. Step 2: Convert to fraction form
    15,022.13/32,511.38 = 32,511.38/x
  3. Step 3: Cross multiply
    15,022.13x = 32,511.38 × 32,511.38
  4. Step 4: Simplify right side
    15,022.13x = 1,056,989,504.39
  5. Step 5: Solve for x
    x = 1,056,989,504.39/15,022.13
  6. Step 6: Final answer
    x = 70,362.18

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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.