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Finding the Third Proportional to 29,955 and 57,579

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Solution

The third proportional to 29,955 and 57,579 is: 110,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,955 : 57,579 = 57,579 : x
  2. Step 2: Convert to fraction form
    29,955/57,579 = 57,579/x
  3. Step 3: Cross multiply
    29,955x = 57,579 × 57,579
  4. Step 4: Simplify right side
    29,955x = 3,315,341,241
  5. Step 5: Solve for x
    x = 3,315,341,241/29,955
  6. Step 6: Final answer
    x = 110,677.39

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.