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Finding the Third Proportional to 15,378.75 and 22,221.75

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Solution

The third proportional to 15,378.75 and 22,221.75 is: 32,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.75 : 22,221.75 = 22,221.75 : x
  2. Step 2: Convert to fraction form
    15,378.75/22,221.75 = 22,221.75/x
  3. Step 3: Cross multiply
    15,378.75x = 22,221.75 × 22,221.75
  4. Step 4: Simplify right side
    15,378.75x = 493,806,173.06
  5. Step 5: Solve for x
    x = 493,806,173.06/15,378.75
  6. Step 6: Final answer
    x = 32,109.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.