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Finding the Third Proportional to 29,972 and 46,310

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Solution

The third proportional to 29,972 and 46,310 is: 71,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972 : 46,310 = 46,310 : x
  2. Step 2: Convert to fraction form
    29,972/46,310 = 46,310/x
  3. Step 3: Cross multiply
    29,972x = 46,310 × 46,310
  4. Step 4: Simplify right side
    29,972x = 2,144,616,100
  5. Step 5: Solve for x
    x = 2,144,616,100/29,972
  6. Step 6: Final answer
    x = 71,553.99

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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.