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Finding the Third Proportional to 7,529 and 16,313

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Solution

The third proportional to 7,529 and 16,313 is: 35,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529 : 16,313 = 16,313 : x
  2. Step 2: Convert to fraction form
    7,529/16,313 = 16,313/x
  3. Step 3: Cross multiply
    7,529x = 16,313 × 16,313
  4. Step 4: Simplify right side
    7,529x = 266,113,969
  5. Step 5: Solve for x
    x = 266,113,969/7,529
  6. Step 6: Final answer
    x = 35,345.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.