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Finding the Third Proportional to 7,564 and 15,020

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Solution

The third proportional to 7,564 and 15,020 is: 29,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564 : 15,020 = 15,020 : x
  2. Step 2: Convert to fraction form
    7,564/15,020 = 15,020/x
  3. Step 3: Cross multiply
    7,564x = 15,020 × 15,020
  4. Step 4: Simplify right side
    7,564x = 225,600,400
  5. Step 5: Solve for x
    x = 225,600,400/7,564
  6. Step 6: Final answer
    x = 29,825.54

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.