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Finding the Third Proportional to 10,304 and 16,030

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Solution

The third proportional to 10,304 and 16,030 is: 24,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304 : 16,030 = 16,030 : x
  2. Step 2: Convert to fraction form
    10,304/16,030 = 16,030/x
  3. Step 3: Cross multiply
    10,304x = 16,030 × 16,030
  4. Step 4: Simplify right side
    10,304x = 256,960,900
  5. Step 5: Solve for x
    x = 256,960,900/10,304
  6. Step 6: Final answer
    x = 24,937.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.