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Finding the Third Proportional to 34,631 and 74,560

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Solution

The third proportional to 34,631 and 74,560 is: 160,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,631 : 74,560 = 74,560 : x
  2. Step 2: Convert to fraction form
    34,631/74,560 = 74,560/x
  3. Step 3: Cross multiply
    34,631x = 74,560 × 74,560
  4. Step 4: Simplify right side
    34,631x = 5,559,193,600
  5. Step 5: Solve for x
    x = 5,559,193,600/34,631
  6. Step 6: Final answer
    x = 160,526.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.