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Finding the Third Proportional to 29,861 and 46,607

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Solution

The third proportional to 29,861 and 46,607 is: 72,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,861 : 46,607 = 46,607 : x
  2. Step 2: Convert to fraction form
    29,861/46,607 = 46,607/x
  3. Step 3: Cross multiply
    29,861x = 46,607 × 46,607
  4. Step 4: Simplify right side
    29,861x = 2,172,212,449
  5. Step 5: Solve for x
    x = 2,172,212,449/29,861
  6. Step 6: Final answer
    x = 72,744.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.