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Finding the Third Proportional to 25,069.50 and 37,609.31

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Solution

The third proportional to 25,069.50 and 37,609.31 is: 56,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,069.50 : 37,609.31 = 37,609.31 : x
  2. Step 2: Convert to fraction form
    25,069.50/37,609.31 = 37,609.31/x
  3. Step 3: Cross multiply
    25,069.50x = 37,609.31 × 37,609.31
  4. Step 4: Simplify right side
    25,069.50x = 1,414,460,386.72
  5. Step 5: Solve for x
    x = 1,414,460,386.72/25,069.50
  6. Step 6: Final answer
    x = 56,421.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.