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Finding the Third Proportional to 23,972.63 and 52,319.25

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Solution

The third proportional to 23,972.63 and 52,319.25 is: 114,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972.63 : 52,319.25 = 52,319.25 : x
  2. Step 2: Convert to fraction form
    23,972.63/52,319.25 = 52,319.25/x
  3. Step 3: Cross multiply
    23,972.63x = 52,319.25 × 52,319.25
  4. Step 4: Simplify right side
    23,972.63x = 2,737,303,920.56
  5. Step 5: Solve for x
    x = 2,737,303,920.56/23,972.63
  6. Step 6: Final answer
    x = 114,184.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.