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Finding the Third Proportional to 34,643 and 74,025

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Solution

The third proportional to 34,643 and 74,025 is: 158,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643 : 74,025 = 74,025 : x
  2. Step 2: Convert to fraction form
    34,643/74,025 = 74,025/x
  3. Step 3: Cross multiply
    34,643x = 74,025 × 74,025
  4. Step 4: Simplify right side
    34,643x = 5,479,700,625
  5. Step 5: Solve for x
    x = 5,479,700,625/34,643
  6. Step 6: Final answer
    x = 158,176.27

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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.