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Finding the Third Proportional to 15,450 and 22,627.50

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Solution

The third proportional to 15,450 and 22,627.50 is: 33,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,450 : 22,627.50 = 22,627.50 : x
  2. Step 2: Convert to fraction form
    15,450/22,627.50 = 22,627.50/x
  3. Step 3: Cross multiply
    15,450x = 22,627.50 × 22,627.50
  4. Step 4: Simplify right side
    15,450x = 512,003,756.25
  5. Step 5: Solve for x
    x = 512,003,756.25/15,450
  6. Step 6: Final answer
    x = 33,139.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.