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Finding the Third Proportional to 15,078 and 21,642.75

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Solution

The third proportional to 15,078 and 21,642.75 is: 31,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078 : 21,642.75 = 21,642.75 : x
  2. Step 2: Convert to fraction form
    15,078/21,642.75 = 21,642.75/x
  3. Step 3: Cross multiply
    15,078x = 21,642.75 × 21,642.75
  4. Step 4: Simplify right side
    15,078x = 468,408,627.56
  5. Step 5: Solve for x
    x = 468,408,627.56/15,078
  6. Step 6: Final answer
    x = 31,065.70

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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.