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Finding the Third Proportional to 20,078 and 29,541

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Solution

The third proportional to 20,078 and 29,541 is: 43,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078 : 29,541 = 29,541 : x
  2. Step 2: Convert to fraction form
    20,078/29,541 = 29,541/x
  3. Step 3: Cross multiply
    20,078x = 29,541 × 29,541
  4. Step 4: Simplify right side
    20,078x = 872,670,681
  5. Step 5: Solve for x
    x = 872,670,681/20,078
  6. Step 6: Final answer
    x = 43,464.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.