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Finding the Third Proportional to 13,076 and 16,208

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Solution

The third proportional to 13,076 and 16,208 is: 20,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076 : 16,208 = 16,208 : x
  2. Step 2: Convert to fraction form
    13,076/16,208 = 16,208/x
  3. Step 3: Cross multiply
    13,076x = 16,208 × 16,208
  4. Step 4: Simplify right side
    13,076x = 262,699,264
  5. Step 5: Solve for x
    x = 262,699,264/13,076
  6. Step 6: Final answer
    x = 20,090.19

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.