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Finding the Third Proportional to 18,534 and 28,703

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Solution

The third proportional to 18,534 and 28,703 is: 44,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534 : 28,703 = 28,703 : x
  2. Step 2: Convert to fraction form
    18,534/28,703 = 28,703/x
  3. Step 3: Cross multiply
    18,534x = 28,703 × 28,703
  4. Step 4: Simplify right side
    18,534x = 823,862,209
  5. Step 5: Solve for x
    x = 823,862,209/18,534
  6. Step 6: Final answer
    x = 44,451.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.