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Finding the Third Proportional to 28,497 and 44,237.50

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Solution

The third proportional to 28,497 and 44,237.50 is: 68,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,497 : 44,237.50 = 44,237.50 : x
  2. Step 2: Convert to fraction form
    28,497/44,237.50 = 44,237.50/x
  3. Step 3: Cross multiply
    28,497x = 44,237.50 × 44,237.50
  4. Step 4: Simplify right side
    28,497x = 1,956,956,406.25
  5. Step 5: Solve for x
    x = 1,956,956,406.25/28,497
  6. Step 6: Final answer
    x = 68,672.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.