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Finding the Third Proportional to 20,307.38 and 29,536.31

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Solution

The third proportional to 20,307.38 and 29,536.31 is: 42,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.38 : 29,536.31 = 29,536.31 : x
  2. Step 2: Convert to fraction form
    20,307.38/29,536.31 = 29,536.31/x
  3. Step 3: Cross multiply
    20,307.38x = 29,536.31 × 29,536.31
  4. Step 4: Simplify right side
    20,307.38x = 872,393,756.10
  5. Step 5: Solve for x
    x = 872,393,756.10/20,307.38
  6. Step 6: Final answer
    x = 42,959.45

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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.