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Finding the Third Proportional to 9,973 and 15,647

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Solution

The third proportional to 9,973 and 15,647 is: 24,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973 : 15,647 = 15,647 : x
  2. Step 2: Convert to fraction form
    9,973/15,647 = 15,647/x
  3. Step 3: Cross multiply
    9,973x = 15,647 × 15,647
  4. Step 4: Simplify right side
    9,973x = 244,828,609
  5. Step 5: Solve for x
    x = 244,828,609/9,973
  6. Step 6: Final answer
    x = 24,549.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.