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Finding the Third Proportional to 24,277.50 and 36,638.50

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Solution

The third proportional to 24,277.50 and 36,638.50 is: 55,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.50 : 36,638.50 = 36,638.50 : x
  2. Step 2: Convert to fraction form
    24,277.50/36,638.50 = 36,638.50/x
  3. Step 3: Cross multiply
    24,277.50x = 36,638.50 × 36,638.50
  4. Step 4: Simplify right side
    24,277.50x = 1,342,379,682.25
  5. Step 5: Solve for x
    x = 1,342,379,682.25/24,277.50
  6. Step 6: Final answer
    x = 55,293.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.