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Finding the Third Proportional to 34,358 and 49,001

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Solution

The third proportional to 34,358 and 49,001 is: 69,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,358 : 49,001 = 49,001 : x
  2. Step 2: Convert to fraction form
    34,358/49,001 = 49,001/x
  3. Step 3: Cross multiply
    34,358x = 49,001 × 49,001
  4. Step 4: Simplify right side
    34,358x = 2,401,098,001
  5. Step 5: Solve for x
    x = 2,401,098,001/34,358
  6. Step 6: Final answer
    x = 69,884.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.