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Finding the Third Proportional to 15,187.50 and 20,432.25

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Solution

The third proportional to 15,187.50 and 20,432.25 is: 27,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,187.50 : 20,432.25 = 20,432.25 : x
  2. Step 2: Convert to fraction form
    15,187.50/20,432.25 = 20,432.25/x
  3. Step 3: Cross multiply
    15,187.50x = 20,432.25 × 20,432.25
  4. Step 4: Simplify right side
    15,187.50x = 417,476,840.06
  5. Step 5: Solve for x
    x = 417,476,840.06/15,187.50
  6. Step 6: Final answer
    x = 27,488.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.