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Finding the Third Proportional to 30,460 and 41,497

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Solution

The third proportional to 30,460 and 41,497 is: 56,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460 : 41,497 = 41,497 : x
  2. Step 2: Convert to fraction form
    30,460/41,497 = 41,497/x
  3. Step 3: Cross multiply
    30,460x = 41,497 × 41,497
  4. Step 4: Simplify right side
    30,460x = 1,722,001,009
  5. Step 5: Solve for x
    x = 1,722,001,009/30,460
  6. Step 6: Final answer
    x = 56,533.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.