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Finding the Third Proportional to 43,705 and 65,533

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Solution

The third proportional to 43,705 and 65,533 is: 98,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,705 : 65,533 = 65,533 : x
  2. Step 2: Convert to fraction form
    43,705/65,533 = 65,533/x
  3. Step 3: Cross multiply
    43,705x = 65,533 × 65,533
  4. Step 4: Simplify right side
    43,705x = 4,294,574,089
  5. Step 5: Solve for x
    x = 4,294,574,089/43,705
  6. Step 6: Final answer
    x = 98,262.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.