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Finding the Third Proportional to 43,130 and 59,391

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Solution

The third proportional to 43,130 and 59,391 is: 81,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,130 : 59,391 = 59,391 : x
  2. Step 2: Convert to fraction form
    43,130/59,391 = 59,391/x
  3. Step 3: Cross multiply
    43,130x = 59,391 × 59,391
  4. Step 4: Simplify right side
    43,130x = 3,527,290,881
  5. Step 5: Solve for x
    x = 3,527,290,881/43,130
  6. Step 6: Final answer
    x = 81,782.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.