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Finding the Third Proportional to 25,132.50 and 30,551.06

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Solution

The third proportional to 25,132.50 and 30,551.06 is: 37,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132.50 : 30,551.06 = 30,551.06 : x
  2. Step 2: Convert to fraction form
    25,132.50/30,551.06 = 30,551.06/x
  3. Step 3: Cross multiply
    25,132.50x = 30,551.06 × 30,551.06
  4. Step 4: Simplify right side
    25,132.50x = 933,367,419.88
  5. Step 5: Solve for x
    x = 933,367,419.88/25,132.50
  6. Step 6: Final answer
    x = 37,137.87

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.