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Finding the Third Proportional to 28,462.50 and 48,905.50

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Solution

The third proportional to 28,462.50 and 48,905.50 is: 84,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462.50 : 48,905.50 = 48,905.50 : x
  2. Step 2: Convert to fraction form
    28,462.50/48,905.50 = 48,905.50/x
  3. Step 3: Cross multiply
    28,462.50x = 48,905.50 × 48,905.50
  4. Step 4: Simplify right side
    28,462.50x = 2,391,747,930.25
  5. Step 5: Solve for x
    x = 2,391,747,930.25/28,462.50
  6. Step 6: Final answer
    x = 84,031.55

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.