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Finding the Third Proportional to 9,751 and 15,513

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Solution

The third proportional to 9,751 and 15,513 is: 24,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751 : 15,513 = 15,513 : x
  2. Step 2: Convert to fraction form
    9,751/15,513 = 15,513/x
  3. Step 3: Cross multiply
    9,751x = 15,513 × 15,513
  4. Step 4: Simplify right side
    9,751x = 240,653,169
  5. Step 5: Solve for x
    x = 240,653,169/9,751
  6. Step 6: Final answer
    x = 24,679.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.