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Finding the Third Proportional to 32,430 and 50,083

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Solution

The third proportional to 32,430 and 50,083 is: 77,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430 : 50,083 = 50,083 : x
  2. Step 2: Convert to fraction form
    32,430/50,083 = 50,083/x
  3. Step 3: Cross multiply
    32,430x = 50,083 × 50,083
  4. Step 4: Simplify right side
    32,430x = 2,508,306,889
  5. Step 5: Solve for x
    x = 2,508,306,889/32,430
  6. Step 6: Final answer
    x = 77,345.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.