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Finding the Third Proportional to 15,210 and 32,895

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Solution

The third proportional to 15,210 and 32,895 is: 71,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,210 : 32,895 = 32,895 : x
  2. Step 2: Convert to fraction form
    15,210/32,895 = 32,895/x
  3. Step 3: Cross multiply
    15,210x = 32,895 × 32,895
  4. Step 4: Simplify right side
    15,210x = 1,082,081,025
  5. Step 5: Solve for x
    x = 1,082,081,025/15,210
  6. Step 6: Final answer
    x = 71,142.74

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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.