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Finding the Third Proportional to 20,187.75 and 28,897.50

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Solution

The third proportional to 20,187.75 and 28,897.50 is: 41,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.75 : 28,897.50 = 28,897.50 : x
  2. Step 2: Convert to fraction form
    20,187.75/28,897.50 = 28,897.50/x
  3. Step 3: Cross multiply
    20,187.75x = 28,897.50 × 28,897.50
  4. Step 4: Simplify right side
    20,187.75x = 835,065,506.25
  5. Step 5: Solve for x
    x = 835,065,506.25/20,187.75
  6. Step 6: Final answer
    x = 41,364.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.