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Finding the Third Proportional to 34,961.63 and 54,536.63

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Solution

The third proportional to 34,961.63 and 54,536.63 is: 85,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,961.63 : 54,536.63 = 54,536.63 : x
  2. Step 2: Convert to fraction form
    34,961.63/54,536.63 = 54,536.63/x
  3. Step 3: Cross multiply
    34,961.63x = 54,536.63 × 54,536.63
  4. Step 4: Simplify right side
    34,961.63x = 2,974,243,466.39
  5. Step 5: Solve for x
    x = 2,974,243,466.39/34,961.63
  6. Step 6: Final answer
    x = 85,071.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.