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Finding the Third Proportional to 13,176 and 31,102.50

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Solution

The third proportional to 13,176 and 31,102.50 is: 73,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176 : 31,102.50 = 31,102.50 : x
  2. Step 2: Convert to fraction form
    13,176/31,102.50 = 31,102.50/x
  3. Step 3: Cross multiply
    13,176x = 31,102.50 × 31,102.50
  4. Step 4: Simplify right side
    13,176x = 967,365,506.25
  5. Step 5: Solve for x
    x = 967,365,506.25/13,176
  6. Step 6: Final answer
    x = 73,418.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.