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Finding the Third Proportional to 51,841 and 75,817.50

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Solution

The third proportional to 51,841 and 75,817.50 is: 110,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841 : 75,817.50 = 75,817.50 : x
  2. Step 2: Convert to fraction form
    51,841/75,817.50 = 75,817.50/x
  3. Step 3: Cross multiply
    51,841x = 75,817.50 × 75,817.50
  4. Step 4: Simplify right side
    51,841x = 5,748,293,306.25
  5. Step 5: Solve for x
    x = 5,748,293,306.25/51,841
  6. Step 6: Final answer
    x = 110,883.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.