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Finding the Third Proportional to 25,221.19 and 40,638.09

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Solution

The third proportional to 25,221.19 and 40,638.09 is: 65,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221.19 : 40,638.09 = 40,638.09 : x
  2. Step 2: Convert to fraction form
    25,221.19/40,638.09 = 40,638.09/x
  3. Step 3: Cross multiply
    25,221.19x = 40,638.09 × 40,638.09
  4. Step 4: Simplify right side
    25,221.19x = 1,651,454,663.63
  5. Step 5: Solve for x
    x = 1,651,454,663.63/25,221.19
  6. Step 6: Final answer
    x = 65,478.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.