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Finding the Third Proportional to 28,123.50 and 39,187.50

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Solution

The third proportional to 28,123.50 and 39,187.50 is: 54,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,123.50 : 39,187.50 = 39,187.50 : x
  2. Step 2: Convert to fraction form
    28,123.50/39,187.50 = 39,187.50/x
  3. Step 3: Cross multiply
    28,123.50x = 39,187.50 × 39,187.50
  4. Step 4: Simplify right side
    28,123.50x = 1,535,660,156.25
  5. Step 5: Solve for x
    x = 1,535,660,156.25/28,123.50
  6. Step 6: Final answer
    x = 54,604.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.