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Finding the Third Proportional to 34,771 and 74,465

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Solution

The third proportional to 34,771 and 74,465 is: 159,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771 : 74,465 = 74,465 : x
  2. Step 2: Convert to fraction form
    34,771/74,465 = 74,465/x
  3. Step 3: Cross multiply
    34,771x = 74,465 × 74,465
  4. Step 4: Simplify right side
    34,771x = 5,545,036,225
  5. Step 5: Solve for x
    x = 5,545,036,225/34,771
  6. Step 6: Final answer
    x = 159,473.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.