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Finding the Third Proportional to 39,413 and 57,967

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Solution

The third proportional to 39,413 and 57,967 is: 85,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413 : 57,967 = 57,967 : x
  2. Step 2: Convert to fraction form
    39,413/57,967 = 57,967/x
  3. Step 3: Cross multiply
    39,413x = 57,967 × 57,967
  4. Step 4: Simplify right side
    39,413x = 3,360,173,089
  5. Step 5: Solve for x
    x = 3,360,173,089/39,413
  6. Step 6: Final answer
    x = 85,255.45

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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.