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Finding the Third Proportional to 18,389 and 27,577.50

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Solution

The third proportional to 18,389 and 27,577.50 is: 41,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,389 : 27,577.50 = 27,577.50 : x
  2. Step 2: Convert to fraction form
    18,389/27,577.50 = 27,577.50/x
  3. Step 3: Cross multiply
    18,389x = 27,577.50 × 27,577.50
  4. Step 4: Simplify right side
    18,389x = 760,518,506.25
  5. Step 5: Solve for x
    x = 760,518,506.25/18,389
  6. Step 6: Final answer
    x = 41,357.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.