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Finding the Third Proportional to 12,534 and 16,473

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Solution

The third proportional to 12,534 and 16,473 is: 21,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534 : 16,473 = 16,473 : x
  2. Step 2: Convert to fraction form
    12,534/16,473 = 16,473/x
  3. Step 3: Cross multiply
    12,534x = 16,473 × 16,473
  4. Step 4: Simplify right side
    12,534x = 271,359,729
  5. Step 5: Solve for x
    x = 271,359,729/12,534
  6. Step 6: Final answer
    x = 21,649.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.