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Finding the Third Proportional to 15,324 and 32,304

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Solution

The third proportional to 15,324 and 32,304 is: 68,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324 : 32,304 = 32,304 : x
  2. Step 2: Convert to fraction form
    15,324/32,304 = 32,304/x
  3. Step 3: Cross multiply
    15,324x = 32,304 × 32,304
  4. Step 4: Simplify right side
    15,324x = 1,043,548,416
  5. Step 5: Solve for x
    x = 1,043,548,416/15,324
  6. Step 6: Final answer
    x = 68,098.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.