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Finding the Third Proportional to 39,875 and 58,083

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Solution

The third proportional to 39,875 and 58,083 is: 84,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,875 : 58,083 = 58,083 : x
  2. Step 2: Convert to fraction form
    39,875/58,083 = 58,083/x
  3. Step 3: Cross multiply
    39,875x = 58,083 × 58,083
  4. Step 4: Simplify right side
    39,875x = 3,373,634,889
  5. Step 5: Solve for x
    x = 3,373,634,889/39,875
  6. Step 6: Final answer
    x = 84,605.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.