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Finding the Third Proportional to 15,042 and 32,595

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Solution

The third proportional to 15,042 and 32,595 is: 70,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042 : 32,595 = 32,595 : x
  2. Step 2: Convert to fraction form
    15,042/32,595 = 32,595/x
  3. Step 3: Cross multiply
    15,042x = 32,595 × 32,595
  4. Step 4: Simplify right side
    15,042x = 1,062,434,025
  5. Step 5: Solve for x
    x = 1,062,434,025/15,042
  6. Step 6: Final answer
    x = 70,631.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.