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Finding the Third Proportional to 20,219.63 and 29,256.19

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Solution

The third proportional to 20,219.63 and 29,256.19 is: 42,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.63 : 29,256.19 = 29,256.19 : x
  2. Step 2: Convert to fraction form
    20,219.63/29,256.19 = 29,256.19/x
  3. Step 3: Cross multiply
    20,219.63x = 29,256.19 × 29,256.19
  4. Step 4: Simplify right side
    20,219.63x = 855,924,507.04
  5. Step 5: Solve for x
    x = 855,924,507.04/20,219.63
  6. Step 6: Final answer
    x = 42,331.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.