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Finding the Third Proportional to 5,027 and 10,513

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Solution

The third proportional to 5,027 and 10,513 is: 21,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027 : 10,513 = 10,513 : x
  2. Step 2: Convert to fraction form
    5,027/10,513 = 10,513/x
  3. Step 3: Cross multiply
    5,027x = 10,513 × 10,513
  4. Step 4: Simplify right side
    5,027x = 110,523,169
  5. Step 5: Solve for x
    x = 110,523,169/5,027
  6. Step 6: Final answer
    x = 21,985.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.