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Finding the Third Proportional to 42,862.50 and 65,751

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Solution

The third proportional to 42,862.50 and 65,751 is: 100,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,862.50 : 65,751 = 65,751 : x
  2. Step 2: Convert to fraction form
    42,862.50/65,751 = 65,751/x
  3. Step 3: Cross multiply
    42,862.50x = 65,751 × 65,751
  4. Step 4: Simplify right side
    42,862.50x = 4,323,194,001
  5. Step 5: Solve for x
    x = 4,323,194,001/42,862.50
  6. Step 6: Final answer
    x = 100,861.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.