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Finding the Third Proportional to 29,977 and 46,575

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Solution

The third proportional to 29,977 and 46,575 is: 72,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977 : 46,575 = 46,575 : x
  2. Step 2: Convert to fraction form
    29,977/46,575 = 46,575/x
  3. Step 3: Cross multiply
    29,977x = 46,575 × 46,575
  4. Step 4: Simplify right side
    29,977x = 2,169,230,625
  5. Step 5: Solve for x
    x = 2,169,230,625/29,977
  6. Step 6: Final answer
    x = 72,363.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.