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Finding the Third Proportional to 15,121 and 32,072

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Solution

The third proportional to 15,121 and 32,072 is: 68,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121 : 32,072 = 32,072 : x
  2. Step 2: Convert to fraction form
    15,121/32,072 = 32,072/x
  3. Step 3: Cross multiply
    15,121x = 32,072 × 32,072
  4. Step 4: Simplify right side
    15,121x = 1,028,613,184
  5. Step 5: Solve for x
    x = 1,028,613,184/15,121
  6. Step 6: Final answer
    x = 68,025.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.