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Finding the Third Proportional to 29,590 and 39,991

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Solution

The third proportional to 29,590 and 39,991 is: 54,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,590 : 39,991 = 39,991 : x
  2. Step 2: Convert to fraction form
    29,590/39,991 = 39,991/x
  3. Step 3: Cross multiply
    29,590x = 39,991 × 39,991
  4. Step 4: Simplify right side
    29,590x = 1,599,280,081
  5. Step 5: Solve for x
    x = 1,599,280,081/29,590
  6. Step 6: Final answer
    x = 54,047.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.