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Finding the Third Proportional to 18,784.50 and 29,252.25

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Solution

The third proportional to 18,784.50 and 29,252.25 is: 45,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784.50 : 29,252.25 = 29,252.25 : x
  2. Step 2: Convert to fraction form
    18,784.50/29,252.25 = 29,252.25/x
  3. Step 3: Cross multiply
    18,784.50x = 29,252.25 × 29,252.25
  4. Step 4: Simplify right side
    18,784.50x = 855,694,130.06
  5. Step 5: Solve for x
    x = 855,694,130.06/18,784.50
  6. Step 6: Final answer
    x = 45,553.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.