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Finding the Third Proportional to 15,262.50 and 32,187.75

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Solution

The third proportional to 15,262.50 and 32,187.75 is: 67,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.50 : 32,187.75 = 32,187.75 : x
  2. Step 2: Convert to fraction form
    15,262.50/32,187.75 = 32,187.75/x
  3. Step 3: Cross multiply
    15,262.50x = 32,187.75 × 32,187.75
  4. Step 4: Simplify right side
    15,262.50x = 1,036,051,250.06
  5. Step 5: Solve for x
    x = 1,036,051,250.06/15,262.50
  6. Step 6: Final answer
    x = 67,882.15

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.