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Finding the Third Proportional to 34,459.50 and 51,960

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Solution

The third proportional to 34,459.50 and 51,960 is: 78,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,459.50 : 51,960 = 51,960 : x
  2. Step 2: Convert to fraction form
    34,459.50/51,960 = 51,960/x
  3. Step 3: Cross multiply
    34,459.50x = 51,960 × 51,960
  4. Step 4: Simplify right side
    34,459.50x = 2,699,841,600
  5. Step 5: Solve for x
    x = 2,699,841,600/34,459.50
  6. Step 6: Final answer
    x = 78,348.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.