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Finding the Third Proportional to 34,613 and 75,777

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Solution

The third proportional to 34,613 and 75,777 is: 165,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,613 : 75,777 = 75,777 : x
  2. Step 2: Convert to fraction form
    34,613/75,777 = 75,777/x
  3. Step 3: Cross multiply
    34,613x = 75,777 × 75,777
  4. Step 4: Simplify right side
    34,613x = 5,742,153,729
  5. Step 5: Solve for x
    x = 5,742,153,729/34,613
  6. Step 6: Final answer
    x = 165,895.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.