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Finding the Third Proportional to 29,916 and 46,456

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Solution

The third proportional to 29,916 and 46,456 is: 72,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916 : 46,456 = 46,456 : x
  2. Step 2: Convert to fraction form
    29,916/46,456 = 46,456/x
  3. Step 3: Cross multiply
    29,916x = 46,456 × 46,456
  4. Step 4: Simplify right side
    29,916x = 2,158,159,936
  5. Step 5: Solve for x
    x = 2,158,159,936/29,916
  6. Step 6: Final answer
    x = 72,140.66

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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.