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Finding the Third Proportional to 6,700 and 15,638

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Solution

The third proportional to 6,700 and 15,638 is: 36,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700 : 15,638 = 15,638 : x
  2. Step 2: Convert to fraction form
    6,700/15,638 = 15,638/x
  3. Step 3: Cross multiply
    6,700x = 15,638 × 15,638
  4. Step 4: Simplify right side
    6,700x = 244,547,044
  5. Step 5: Solve for x
    x = 244,547,044/6,700
  6. Step 6: Final answer
    x = 36,499.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.