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Finding the Third Proportional to 34,663 and 49,533

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Solution

The third proportional to 34,663 and 49,533 is: 70,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,663 : 49,533 = 49,533 : x
  2. Step 2: Convert to fraction form
    34,663/49,533 = 49,533/x
  3. Step 3: Cross multiply
    34,663x = 49,533 × 49,533
  4. Step 4: Simplify right side
    34,663x = 2,453,518,089
  5. Step 5: Solve for x
    x = 2,453,518,089/34,663
  6. Step 6: Final answer
    x = 70,782.05

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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.