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Finding the Third Proportional to 18,496 and 28,432

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Solution

The third proportional to 18,496 and 28,432 is: 43,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496 : 28,432 = 28,432 : x
  2. Step 2: Convert to fraction form
    18,496/28,432 = 28,432/x
  3. Step 3: Cross multiply
    18,496x = 28,432 × 28,432
  4. Step 4: Simplify right side
    18,496x = 808,378,624
  5. Step 5: Solve for x
    x = 808,378,624/18,496
  6. Step 6: Final answer
    x = 43,705.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.