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Finding the Third Proportional to 15,772.50 and 34,745.50

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Solution

The third proportional to 15,772.50 and 34,745.50 is: 76,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.50 : 34,745.50 = 34,745.50 : x
  2. Step 2: Convert to fraction form
    15,772.50/34,745.50 = 34,745.50/x
  3. Step 3: Cross multiply
    15,772.50x = 34,745.50 × 34,745.50
  4. Step 4: Simplify right side
    15,772.50x = 1,207,249,770.25
  5. Step 5: Solve for x
    x = 1,207,249,770.25/15,772.50
  6. Step 6: Final answer
    x = 76,541.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.