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Finding the Third Proportional to 23,827.50 and 36,579

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Solution

The third proportional to 23,827.50 and 36,579 is: 56,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.50 : 36,579 = 36,579 : x
  2. Step 2: Convert to fraction form
    23,827.50/36,579 = 36,579/x
  3. Step 3: Cross multiply
    23,827.50x = 36,579 × 36,579
  4. Step 4: Simplify right side
    23,827.50x = 1,338,023,241
  5. Step 5: Solve for x
    x = 1,338,023,241/23,827.50
  6. Step 6: Final answer
    x = 56,154.58

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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.