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Finding the Third Proportional to 18,464 and 28,664

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Solution

The third proportional to 18,464 and 28,664 is: 44,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464 : 28,664 = 28,664 : x
  2. Step 2: Convert to fraction form
    18,464/28,664 = 28,664/x
  3. Step 3: Cross multiply
    18,464x = 28,664 × 28,664
  4. Step 4: Simplify right side
    18,464x = 821,624,896
  5. Step 5: Solve for x
    x = 821,624,896/18,464
  6. Step 6: Final answer
    x = 44,498.75

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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.